You’ve learned to identify whether a function is even or odd both graphically and algebraically. How does the notation for reflections over the x-axis and over the y-axis relate to the notation for even and odd functions? Remember that if f(-x) = f(x), a function is even, and if f(-x) = -f(x), then the function is odd.

Answers

Answer 1

Answer:

Because even and odd are 2 different ways to determine whether or not you get the right answer for the chosen function.

Step-by-step explanation:

Hope this helps!!!

Answer 2

Answer:

For even functions, we take f(-x) to be the starting function. The y-axis reflection of this function is f(-(-x)), which is equal tof(x). So the relationship f(-x) = f(x) means that the function is the same as its y-axis reflection.

For odd functions, there are two reflections that must occur. First, we start with f(-x). The y-axis reflection of this function is f(-(-x)) = f(x). When we apply an x-axis reflection to this result, we get -f(-(-x)) = -f(x). So the fact that f(-x) = -f(x) means that odd functions are the same as sequential reflections across both the x-axis and the y-axis. (The same sequence of reflections also represents a rotation 180 degrees about the origin).

Step-by-step explanation:


Related Questions

The area of rectangle is 35 square feet.the length of rectangle is 5feet what is the width of the rectangle ​

Answers

What class is this ? Tell me if you can

Answer:

the answer should be 7

Step-by-step explanation:

what percent of 18 is 24? Side info: the answer is not 75% or 133%!!!

Answers

Answer:

133 1/3 %

Step-by-step explanation:

24/18 = 4/3

4/3 * 100 = 133 1/3 %

Missed that 1/3

Answer:

133.33%

Step-by-step explanation:

24 is x% of 18, solving for x:

x = 24/18*100% = 133.33%

The life span of a domestic cat is normally distributed with a mean of 15.7 years and a standard deviation of 1.6 years. a. Find the probability that a cat will live to be older than 14 years. b. Find the probability that a cat will live between 14 and 18 years. c. If a cat lives to be over 18 years, would that be unusual? Why or why not? d. How old would a cat have to be to be older than 90% of other cats?

Answers

Answer

a. 0.856

b. 0.78071

c. It is not unusual

d. 13.65 years old

Step-by-step explanation:

The life span of a domestic cat is normally distributed with a mean of 15.7 years and a standard deviation of 1.6 years.

We solve this question using z score formula:

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

a. Find the probability that a cat will live to be older than 14 years.

For x > 14 years

z = 14 - 15.7/1.6

z = -1.0625

Probability value from Z-Table:

P(x<14) = 0.144

P(x>14) = 1 - P(x<14) = 0.856

b. Find the probability that a cat will live between 14 and 18 years.

For x = 14 years

z = 14 - 15.7/1.6

z = -1.0625

Probability value from Z-Table:

P(x = 14) = 0.144

For x = 18 years

z = 18 - 15.7/1.6

z= 1.4375

Probability value from Z-Table:

P(x = 18) = 0.92471

The probability that a cat will live between 14 and 18 years is calculated as:

P(x = 18) - P(x = 14)

0.92471 - 0.144

= 0.78071

c. If a cat lives to be over 18 years, would that be unusual? Why or why not?

For x > 18 years

z = 18 - 15.7/1.6

z= 1.4375

Probability value from Z-Table:

P(x<18) = 0.92471

P(x>18) = 1 - P(x<18) = 0.075288

Converting this to percentage:

0.075288 × 100 = 7.5288%

Hence, 7.5288% of the cats live to be over 18 years. Hence, it is not unusual.

d. How old would a cat have to be to be older than 90% of other cats?

From the question above, 10% of the cats would be older than 90% of other cats.

Hence, we find the z score of the 10th percentile

= -1.282

Hence,

-1.282 = x - 15.7/1.6

Cross Multiply

-1.282 × 1.6 = x - 15.7

- 2.0512 = x - 15.7

x = 15.7 -2.0512

x = 13.6488 years old

Approximately = 13.65 years old

Quinn is baking cookies for the bake sale at her school using her grandmother recipe. She uses 12.5 cups of flour to make 5 dozen cookies.
Find the constant of proportionality

Answers

2.5
Because 12.5 divided by 5 is equal to 2.5
for every dozen she makes she will use 2.5 cups of flour

In how many zeros does 75! end?

Answers

Answer: 0

Step-by-step explanation: 0 because 75 doesn't have a 0

Find the slope and the coordinates of the points of intersections of the following lines with coordinate axes y= -1/4x+2

Answers

Step-by-step explanation:

y = -0.25x + 2

The slope is the coefficient of x, which is -0.25.

y-intercept is the constant term, which is 2.

When y = 0, -0.25x + 2 = 0, -0.25x = -2, x = 8.

=> x-intercept = 8.

Cal plans to paint a wall that is 9 feet tall and 9 feet long. He buys a can of paint that covers 100 square feet. Which of the following statements apply?

He will have half a can of paint left over.
He will have less than half a can of paint left over.
He will NOT have enough paint.
He will have exactly enough paint.

Answers

Answer:

D

Step-by-step explanation:

that is 100-81

=19

meaning the paint shall be enough

write an expression to represent the sum of 10 and 5 times a number x

Answers

Answer:

10 + 5x

Explanation:

5 times a number x is going to be 5x.

The sum of 10 and 5x will be them added together which is 10 + 5x

someone help me out please

Answers

Answer:

The answer would be B :)

Step-by-step explanation:

c. is wrong :)

explanation: the line of symmetry is NOT equal to zero.

mark me brainliest! :)

If the measure of angle
A = 55 degrees, b = 12,
and c= 7, find a.

Answers

The answer probably is 55 otherwise I didn’t understand your question.

2y – 12x = -14 please help

Answers

6x-y=7
That’s the answer

Tickets for all of the described charity raffle games cost $2 per ticket .identify the games in which a person who buys a ticket for each game every day for the next 400 days could expect to lose less than a total of $200

Answers

Answer:

Step-by-step explanation: this is for plato users!

Which of these graphs represents a function?
A)
A
B)
B
C)
С
D)
D

Answers

Do the vertical line test and draw a straight line.

Solution: C represents a function
B represents a function

help please!!!!!!!!!!​

Answers

Answer:

x=3

y=5

Step-by-step explanation:

5x+3(0) The y is zero because in the x-intercept the y is zero (same for x)

5/5x=15/5

x=3

5(0)+3y=15

3/3y=15/3

y=5

Harold cut 18 and a half
inches off a rope that was 60 inches long. How is the length of the remaining rope in inches written in decimal form?

Answers

The length of the remaining rope is 41.5 inches.

What is a word problem?

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Harold cut 18 and a half inches off a rope that was 60 inches long.

Let the remaining length of the rope be x.

This can be written as,

⇒ [tex]x=60-18.5[/tex]

⇒ [tex]x=41.5[/tex]

Hence we can conclude that the length of the remaining rope is 41.5 inches.

Learn more about word problems here

brainly.com/question/20594903

#SPJ2

$2,500 is invested in an account earning 8.4% interest compounded annually. How many years did it take to reach $4,000?

Answers

Answer:

3 years

Step-by-step explanation:

Allison can work up to 35 hours per week. if she works 5 1/2 hours Monday, 6 hours on Tuesday, and 7 3/4 hours on Wednesday, how many more hours can she work during the week

Answers

Answer:

15 3/4

Step-by-step explanation:

this is simple addition and subtraction

What is the value of the expression below 64 5/6

Answers

Answer:

[tex]64\dfrac{5}{6}=\dfrac{389}{6}[/tex]

Step-by-step explanation:

We need to find the value of the expression :

[tex]64\dfrac{5}{6}[/tex]

It is in the form of a mixed fraction. We can simplify it as follows :

[tex]64\dfrac{5}{6}=\dfrac{64\times 6+5}{6}\\\\=\dfrac{389}{6}[/tex]

Hence, the value of the given expression is [tex]\dfrac{389}{6}[/tex].

Answer:

32

Step-by-step explanation:

pweese help!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

D

Step-by-step explanation:

11) Solve the multiplication equation. Check your answer.
39 = 13y what does y equal?

Answers

Answer:

y = 3

Step-by-step explanation:

39 = 13y

y = 3 (explanation: by dividing 13)

Check answer:

39 = 13(3)

39 = 39

Answer:

y = 3

Step-by-step explanation:

39 = 13y

Divide each side by 13

39/13 = 13y/13

3 = y

Check

39 = 13*3

39 = 39

Our solution checks

In the figure to the right, AE+DC= 1 1/5 m, AB=1 3/4 cm, DE=1 1/4 cm, and BC =1 3/10 cm. Find the perimeter of the figure.

Answers

9514 1404 393

Answer:

  5 1/2 cm

Step-by-step explanation:

The perimeter is the sum of the given lengths (in cm):

  P = (1 1/5) +(1 3/4) +(1 1/4) +(1 3/10)

  = (1 + 1 + 1 + 1) +(2/10 + 3/4 + 1/4 +3/10)

  = 4 + 1 5/10

  = 5 1/2

The perimeter of the figure is 5 1/2 cm.

Sports Plus has a sale on all
baseball cleats for 25% off. If a
pair of cleats is priced at $74.00,
what is the price after the
discount?

Answers

Answer:

$55.5

Step-by-step explanation:

divide 74 by 100 to find out how much 1% of the shoe is and multiply that number by 25 and you will get 18.5 , then subtract 18.5 from 74 and you get $55.5!Hope this helps :)

The anwser is $55.50 because 25% off 74.00 is 54.50

Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the solution to this system of inequalities in the coordinate plane.

3y > 2x + 12
2x + y < -5
Please respond asap

Answers

Answer:

Hope this helps

Step-by-step explanation:

Jada will draw two scale drawings of the same object on 1-cm grid paper. Each centimetre will represent a greater distance in the second
drawing than in the first. Jada claims that the lengths in the second drawing will be longer than the lengths in the first drawing. Do you agree? Give an example of a scale and a measurement to support your answer.

Search entries or author

Answers

Answer:

Jada is wrong. For example, say Jada is drawing scaled versions of a 10x10 yard square. In her first drawing, 1 centimeter = 1 yard, so the drawn square is 10x10 centimeters. In her second drawing, 1 centimeter = 2 yards, which is greater, like the problem says. This drawing will be only 5x5 centimeters, meaning the lengths will be smaller as each centimeter represents a greater number of yards.

Keenan found a basketball on
sale for 15% off. If it cost
$39.99, what was the sale
price?

Answers

Answer:

$34

Step-by-step explanation:

Take 15% and multiply by $39.99

.15 x 39.99 = 5.99 (or, 6 rounded up)

Then, subtract that from the original price. $39.99 - 5.99 = $34

ASAP ASAP 30 POINTS

A ratio table shows ratios that are....

A)equivalent
B)subtracted
C)unequal

Answers

Answer:

A ) equivalent

Step-by-step explanation:

<333 .! :)

Answer:

I agree with the answer equivalent because I am also doing the assignment

Have a great day!

A bicyclist is in the exact middle of a straight trail that has endpoints at coordinates (11, 2) and (13, 5)on a map. Each unit of the grid is equal to 1 mile. What are the coordinates of the bicyclist on the map? *
6.5, 9)
(12, 3.5)
(13, 18)
(24, 7)

Answers

Answer: (12, 3.5)

We have to find the midpoint. So we do,

11+13=24 /2 = 12
2+5=7 /2 = 3.5

So the bicyclist is at (12, 3.5) on the map.

I’ve attached a picture of another example and the formula we use. Hope this helps!

15 people are expected for a dinner. Three ounces of corn serves one person. A can of corn is nine ounces. How many cans of corn should be bought for the dinner?

Answers

Answer:

there should be 5 cans of corn! hope This Helps

Step-by-step explanation:

Answer:

The answer is 5

Step-by-step explanation: You have to multiply the amount of people by the servings a person gets (15*3), you then divide that by the amount of ounces a can has (45/9) the result is 5.

Which graph can be used to solve the equation 2^x-1=x+2?

Answers

Answer:

Bottom Left

Step-by-step explanation:

I found the graph. All you needed to do was switch the red and blue line. I put a screenshot of the correct answer on I-Ready as well as the graph I had found.

The system of equations needed to solve the given equations is . Thus, the correct graph is the top-right graph. Its plotted below.

How to find the system of equations needed to solve an equation?

An equation usually consists of equality of two mathematical expressions. Let it be [tex]A = B[/tex]. If we take them to be equal to third variable, then:

[tex]A = B = C[/tex] type of equation is obtained.

We can then take it as system of two equations as:

[tex]A = C\\B = C[/tex]

Solution to this system will give us the solution to the considered equation


What is a solution to a system of equations?

For a solution to be solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs.

For the given case, we are given that:

[tex]2^x-1=x+2[/tex]

Taking these two mathematical expression equal to 'y', we get:

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

or

[tex]y = 2^x - 1\\and\\y= x+2[/tex]

Plotting these two functions on the X-Y plane, the common point of these curves is the common value which can satisfy both the equations simultaneously, and thus, being the solution to the considered system of equations.


Thus, the solutions are those two points that are intersections of those two curves.

Learn more about solution of a system of an equation here:

https://brainly.com/question/13722693

Factor the expression using GCF of 4+22​

Answers

Answer:

the answer would be 2(2+11)

Step-by-step explanation:

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