Determine the intervals of the domain over which the function is continuous.
A) (-infinity,0]
B) [0,infinity)
C) (-infinity, infinity)
D) (0,infinity)

Determine The Intervals Of The Domain Over Which The Function Is Continuous. A) (-infinity,0] B) [0,infinity)C)

Answers

Answer 1

The intervals of the domain over which the function is continuous is - option (C) (-infinity, infinity).

A function is said to be continuous on an interval when the function is defined at every point on that interval and undergoes no interruptions, jumps, or breaks. If some function f(x) satisfies these criteria from x=a to x=b, for example, we say that f(x) is continuous on the interval [a, b]. The brackets mean that the interval is closed -- that it includes the endpoints a and b. In other words, that the interval is defined as a ≤ x ≤ b. An open interval (a, b), on the other hand, would not include endpoints a and b, and would be defined as a < x < b.

we use a square bracket [ when the set includes the endpoint and a parenthesis ( to indicate that the endpoint is either not included or the interval is unbounded.

If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that chosen x-value is said to belong to the domain of f.

So the  the intervals of the domain over which the function is continuous is (-infinity, infinity) .

To learn more about Intervals

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Related Questions

Please solve this! NO ROBOTS!

Answers

Answer:  54° or 40°, depending on my interpretation of the problem.

Step-by-step explanation:

I do not understand the drawing. I see a right angle with a line bisecting it at 36 degrees.  A right angle is 90°, so the other angle should be (90 - 36) or 54°.  But what's shown is (14 - 1)°, and I don't know how to interpret that.  Is the "1" supposed to be an "x"?  If so, x = 40°

what is the solution to the equation 1/2a=7

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\boxed{\mathsf{\dfrac{1}{2}a = 7}}\\\\\large\text{MULTIPLY 2 to BOTH SIDES}\\\\\large\boxed{\mathsf{2\times\dfrac{1}{2}a= 2\times7}}\\\\\large\text{CANCEL out: }\rm{2\times\dfrac{1}{2}}\large\text{ because it gives you 1.}\\\large\text{KEEP: }\rm{2\times7}\large\text{ because it helps you get your a-value}\\\\\large\boxed{\mathsf{a = 2\times7}}\\\\\\\large\text{SIMPLIFY IT!}\\\\\large\boxed{\mathsf{a = 14}}\\\\\\\huge\boxed{\text{Therefore, your answer is: \boxed{\mathsf{a = 14}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

A graph is shown below:

Whích of the following inequalities is best represented by this graph? (4 points)

Answers

Answer:

  5x -y ≥ 2

Step-by-step explanation:

The slope of the boundary line is positive, so the x- and y-coefficients will have opposite signs when the equation is written in standard form (eliminates choices A, B).

The graph is shaded for x-values greater than those on the boundary line, so the form of the desired equation will be ...

  ax -by c . . . . . for some positive values of a, b, c

This eliminates choice C and indicates the correct choice is the last one:

  5x -y ≥ 2

7

Use synthetic division to divide and write the quotient.

(9x² + 22 x - 15)+(x+3)

Answers

Answer:
9x^2+23x−12

Hope this Helps!

which process do you preferred in identifying if the binomial is a factor of the polynomial?

Answers

Step-by-step explanation:

Remainder Theorem states that if polynomial f(x) is divided by a linear binomial of the for (x - a) then the remainder will be f(a). Factor Theorem states that if f(a) = 0 in this case, then the binomial (x a) is a factor of polynomial f(x).

Solving the quadratic equations using by completing the square. ​

Answers

Step-by-step explanation:

1-

(x+3)(x+5)=0

2-

(x-3)(x+1)=0

3-

(x-2)(x+2)=0

4-

(x+3)(x-1)=0

5-

(x-4)(x+8)=0

if it is right

please give me a brainlest

What is the measurement of this angle?

Answers

Answer:

I believe it is 82.

Step-by-step explanation:

This is because a triangle's angles add up to 180. 180-65-33=82

Sorry if this is wrong

Solve for the value of n

Answers

Answer:

n = 8

Step-by-step explanation:

Both given angles are verticale angles therefore they are congruent, so;

9n = 8n + 8

(9n - 8n) = 8

n = 8

Hope this helps!

N is equal to 8 u feel



I WILL MARK BRAINLIST IF CORRECT !!


Explain why opening a parachute can slow a skydiver down to a safe landing speed. You can add drawings to aid your explanation

Answers

Answer:

There is no air resistance acting in the upwards direction, and there is a resultant force acting downwards. ... There is no resultant force and the skydiver reaches terminal velocity. When the parachute opens, the air resistance increases. The skydiver slows down until a new, lower terminal velocity is reached.

Step-by-step explanation:

Pamela's age is two times Jiri's age. The sum of their ages is 33. What is Jiri's age?
please please help

Answers

Answer:

Let Jiri's age be as 'x'

Therefore, Pamela's would be 2x

Since the addition of both is 72, the equation formed would be..

2x+ x =72

3x =72

x= 72÷3

x = 24 years.

Therefore, Jiri's age is 24 and Pamela's is twice of Jiri ie 48 years.

a ring is now reduced to £840
this is saving 40% of the original price
work out the original price of the ring

Answers

Answer:

The original price of the ring is 1400 pounds. So, 100 pounds is equivalent to= (840/60)* 100 = 1400 pounds.

Answer:

1400 pounds

Step-by-step explanation:

the ring is now worth 60% of its original price

the percentage in decimal is equal: 60% = 0.6

[tex]\frac{840}{0.6} =1400[/tex]

Hope this helps

Find the measures of angles x and y in the figure.

Answers

Answer:

x = y = 60°

Step-by-step explanation:

The angle adjacent to 120° inside the triangle is

180° - 120° = 60°

The triangle is isosceles ( 2 congruent legs ) with the 2 base angles being congruent , then

y = 60°

The vertex of the triangle = 180° - (60 + 60)° = 180° - 120° = 60°

x is vertically opposite the vertex and is congruent , so

x = 60°

find the measure of all the angle b’s pls. pretty pretty please. if you do all four ily. #desperate.

Answers

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I'll be helping you today :D. I hope you are having a nice day.

Theorums

To solve the problem, since it is in the field of Geometry, there is bound to be theorums and basic knowledge that we need to know, upon seeing this problem what we need to know are:

Supplementary Angles: When two angles add up to 180 degrees.

Complementary Angles: When two angles add up to 90 degrees.

Interior/Exterior Angles Theorum.

Right Angles.

Solving

So to solve this, I'll first start with number 11. In this, we need to solve for B and we are given the first angle and b as the second angle.

What we can do is first we know that it is a Complementary angle as we know 65 degrees + b has to equal to 90 degrees.

Upon solving that, we know that B for the first one is

[tex]90=b+65\\b= 25[/tex]

We know that b is 25 degrees for the first one.

For the second one, we know that due to the interior/exterior angles theorem that 80 + b has to equal to 180 degrees due to the int/ext angles theorem and supplementary angles.

[tex]180=80+b\\b=100[/tex]

We know that b is 100 degrees.

For the third one, we know the entire thing is 360 degrees. Since we know that, we can solve for b as we have all the angles needed.

[tex]244+23+b=360\\b=93[/tex]

Upon solving, we know that b is 93 degrees.

For the final one, due to vertical angles, b is equal to 48 degrees!

Feel free to ask any questions you have in the comments!

Cheers!

I think it’s 6) 25 7) 60 8) 93 9) 46 hope this helps :D

Find the perimeter, in feet, of the rhombus.

32 feet
60 feet
34 feet
68 feet

Answers

Answer:

68ft

Step-by-step explanation:

The formula of a perimeter of a rhombus:

P = 4a

a - length of side

We have a = 17ft

P = 4 · 17ft = 68ft

A fish is at 12.85m below sea level and a turtle is at 3.5m right above the fish. State the position of the turtle.

Answers

Answer:

9.35

Step-by-step explanation:

because you take 3.5 away from 12.85

Answer:

9.35

Step-by-step explanation:

SAME EXPLANATION PO

Which equation represents a line that passes through (-9, -3) and has a slope of -6? - = y-9 = -6(x-3) y + 9 = -6(x + 3) y-3 = -6(x-9) O y + 3 = -6(x + 9) = x ​

Answers

Answer:

(y+3)=−6(x+9) ( y + 3 ) = − 6 ( x + 9 )

Step-by-step explanation:

A sporting goods store is having a 15% off sale on all items. Which functions can be used to find the sale price of an item that has an original price of x ? You may choose more than one correct answer.


y = .85 x
ƒ( x ) = 1.15 x
Sale = Original - 15
ƒ( x ) = x - .15 x
Sale = Original - .15(Original)

Answers

Answer:

the answer is f(x) =x-0.15x

Step-by-step explanation:

A, D, and E are correct.

Explanation - Taking 15% off is the same thing as only charging 85% so both D and E are correct

Identify next three numbers in this sequence: 2, 8, 4, 16, 12

Answers

The next three numbers are 48, 44, 176

Answer:

2, 8, 4, 16, 12, 30, 26, 50

Step-by-step explanation:

The first is determinate the different ([tex]d[/tex]) between each consecutive value ([tex]a_n - a_{n-1}[/tex]).

[tex]8 - 2 = 6\\4 - 8 = -4\\16 - 4 = 12\\12 - 16 = -4\\[/tex]

How you can see when the position of the number in the sequence is odd you have to sum a number [tex]6x[/tex] and when the position of the number in the sequence is a even number you have to substract -4.

Why [tex]6x[/tex]? If you see the first two odd position numbers in the sequence are multiples of 6, then we made the deduction that each time that you sum a number this is a multiply of 6 and -4 is constant for each position even number.

Then for each odd position number in the sequence it's representation is of the form:

[tex]a_{n-1} + 6x = a_n[/tex]

Where [tex]a_{n-1}[/tex] is the number of before, [tex]x[/tex] the odd position of the number in the sequence and [tex]a_n[/tex] is the current value of [tex]a_n[/tex]

So the rest of the sequence is of the next form:

[tex]12 + 6(3) = 30[/tex]

[tex]30 -4 = 26[/tex]

[tex]26 + 6(4) = 50[/tex]

So the final answer is [tex]\{30, 26, 50\}[/tex]

Can someone pls help me
Solve for x
Please show ur work

Answers

Answer:

-2=x

Step-by-step explanation:

110º=(x+112)º

110=x+112

Subtract 112 from both sides of the equation.

-2=x

Hope this helps :)

Answer:

[tex]x = - 2[/tex]

Step-by-step explanation:

We can make this an equation

[tex]x + 112 = 110 \\ x = - 2[/tex]

Write the equation of the line in fully simplified slope-intercept form. y intercept = -2 (GIVE EXPLANATION)

Answers

Answer:

See Below:

Step-by-step explanation:

So, first of all. to find the equation of the line, the equation has to be in [tex]y=mx+b[/tex] form. In this for the following are:

[tex]m[/tex] is the slope of the line[tex]b[/tex]  is the y intercept

Solving

So, first of all, to find the equation of the line, we can get two points from the line, you can pick any points you want, but for this case, I will be using (0,-2) and (-2,0).

To solve for the slope, we can use rise over run to find the equation.

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Upon inserting our points into the equation, we get a slope of -1.

[tex]\frac{0-(-2)}{-2-0}=\frac{2}{-2}=-1[/tex]

Creating The Equation

To create the equation in [tex]y=mx+b[/tex] form, we need to know what the intercept and the slope are, for which we solved above. We can now put in the things we found to get our final equation.

[tex]y=-1x-2[/tex]

We know the slope has to be -1 as we solved for that, and because the line is decending downwards, we can interpret the slope as down 1 right 1.

We know that b is -2 because the y intercept is -2 and b is equal to the y intercept. Therefore the b cation is -2.

Cheers!

(x + 1)(x + 2)(x + 1)(3x + 2)

Answers

Answer:

Is it the full question I mean what does it want next anyway?

But here's your answer :

3x^4 + 14x^3 + 23x^2 + 16x + 4

Find the slope between (6,1) and (3,7)

Answers

Answer:

?

Step-by-step explanation:

Answer: m = -2

Step-by-step explanation: m = slope

What is the range of the graph

Answers

Answer:

You're correct the answer is B) [tex]-5 \leq y \leq -1[/tex]

Step-by-step explanation:

The key behind this problem is think about the function [tex]\sqrt[3]{x}[/tex] and think what happen when you plug in values in it.

So we're  going to try with some simply values for evaluate

[tex]\sqrt[3]{-8} = -2[/tex]

[tex]\sqrt[3]-1} = -1[/tex]

[tex]\sqrt[3]{0} = 0[/tex]

[tex]\sqrt[3]{1} = 1[/tex]

[tex]\sqrt[3]{8} = 2[/tex]

How you can see when plug in a negative number the function return a negative number, but when you plug in a positive number the function return a positive number (this isn't a proof of this happen in each value of the given interval, but is a good way of demonstrate the relation). This means that when you plug in a value this value is greater than the value of before, so the function  is increasing it's outputs.

Now this is good because that's mean that the limits of the range are the limits of the domain evaluates in the function (because the smaller input give us the smaller output and the same with the greater). But the given function have different operation in it, so you have to interpret this operations of this way:

When you have a negative value in the [tex]x[/tex] like in this occasion ([tex]\sqrt[3]{-x}[/tex]) the function reflex it's values with respect to the y axis (image put the functions in a mirror a draw the given image in the same cartesian plane).And you have a -3 this is move each value of the function 3 units down.

So with this information you evaluate each limit of the domain [tex]\{-8, 8\}[/tex] in the function and get the limits for the range.  

[tex]f(-8) = \sqrt[3]{-(-8)} -3= \sqrt[3]{8} -3 = 2 -3 = -1[/tex]

[tex]f(8) = \sqrt[3]{-8} -3= -2 -3 = -5[/tex]

So the range of the function in the given interval is equal to [tex]\{-1, -5\}[/tex] in the interval notation is equal to [tex]-5 \leq y \leq -1[/tex]

please answer fats i need it hurry

Answers

Answer:

78 in

Step-by-step explanation:

26 * 3 = 78 in

Alecia runs the air conditioner im her home when it id hot outside. She uses the equation C = 0.01m to determine the cost , C , in dollars , to run the air conditioner for m minutes . According to the question what is the cost per minute of running alecia’s air conditioner?

Answers

The cost per minute is an illustration of proportionality constant.

The cost per minute is of running Alecia's air conditioner is $0.01

The cost function is given as:

[tex]\mathbf{C(m) = 0.01m}[/tex]

Where C represents the cost, and m represents the number of minutes

A proportional relationship is represented as:

[tex]\mathbf{y =kx}[/tex]

Where k represents the constant of proportion.

So, by comparison:

[tex]\mathbf{k = 0.01}[/tex]

In this case, the proportionality constant is the same as the cost per minute.

Hence, the cost per minute is $0.01

Read more about proportionality constant at:

https://brainly.com/question/18707816

what is halfway between 140,000 and 150,000​

Answers

Answer:

145000

Step-by-step explanation:

(150000-140000)÷2=10000÷2

                                =5000

140000+5000=145000

Answer:

145,000

Step-by-step explanation:

To find halfway between two numbers is the same as finding the mean of two numbers.

140,000+150,000=290,000

290,000/2

=145,000

Hope this helps :)

4(t²-5t) + 3u³ when t=4 and u=5?

ASAP

Answers

The answer to this equation will be 359

Answer:   359

Step-by-step explanation:

4(t²-5t) + 3u³   plug in the t and u

= 4[4²-5(4)] + 3(5)³

= 359

what is the slope of the line parallel to the line whose equation is -y = -4x + 7 ?​

Answers

The slope would be 4

-y = -4x + 7

Solve for y

y = 4x - 7

Since the line is parallel to this one, they would have the same slope.

Hello there!

Parallel lines have the same slope.

So if one line has a slope of 4, then the slope of the line parallel to it has a slope of 4 as well.

Hope it helps!

Please mark Brainliest!

~Just a determined gal

[tex]MysteriousNature[/tex] here to help

Which points are located on the y-axis? Check all that apply. (0, 3) (4, 0) (9, 0) (0, 11) (14, 0)

Answers

Answer:

(0,3) and (0,11)

Step-by-step explanation:

A tip for next time is that if the "0" is first, then it is the y-axis. And if the "0" is second, it is the x-axis.

56 - 8 (1/4+2 / 1-3/5)

Simplify the complex fraction in the given expression.

Simplify the complete expression.

Answers

[tex]56-8(\frac{\frac{1}{4}+2 }{1-\frac{3}{5} })= 56-8(\frac{2,25}{0,4 })= 56-8.(5,625)=56-45= 11[/tex]

ok done. Thank to me :>

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