Answers
The solution to the given functions are:
a) f(x) is an even function because f(−x) = f(x)
b) f(x) is an odd function because f(-x) = -f(x)
c) f(x) is neither even nor odd because f(-x) ≠ f(x) nor f(-x) ≠ -f(x)
How to find the even or odd function?A function f is said to be an even function if f(−x) = f(x), for all x in the domain of f. A function f is said to be an odd function if f(−x) = −f(x), for all x in the domain of f.
a) The function is given as:
f(x) = 2x⁴ - x² - 4
f(-x) = 2(-x)⁴ - (-x)² - 4
= 2x⁴ - x² - 4
Thus, it is an even function because f(−x) = f(x)
b) The function is given as:
f(x) = 2x³ + ¹/₋ₓ
f(-x) = 2(-x)³ + ¹/₍₋ₓ₎
= -2x - ¹/ₓ
Thus, it is an odd function because f(-x) = -f(x)
c) The function is given as:
f(x) = 2x² - 7x + 10
f(-x) = 2(-x)² - 7(-x) + 10
f(-x) = 2x² + 7x + 10
Thus, it is neither even nor odd because f(-x) ≠ f(x) nor f(-x) ≠ -f(x)
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Related Questions
Find the measure of angle x 20
Answers
Answer:
20°
Step-by-step explanation:
[tex]m \angle \: x = 20 \degree \\ (vertical \: \angle s)[/tex]
Answer:
x = 20°
Step-by-step explanation:
By opposite angle
x = 20°
-TheUnknownScientist
meteroloogist track severe stoms using Doppler radar. A polar grid is used to measure distances as the storms progress. If the center of the radar screen is the origin and each ring is 10 miles farther from the center, what is the equation of the fourth ring
Answers
Answer:
[tex]$(x-h)^2+(y-k)^2= (r+ 40 )^2$[/tex]
Step-by-step explanation:
It is given that a meteorologist is using a Doppler radar to find out the distance of the storm as it passes using a polar grid.
The origin of the radar screen is its center.
And the distance between each ring is 10 miles from the center.
So let :
r = radius
h and k = be the coordinates of the center.
So the equation of a circle is :
[tex]$(x-h)^2+(y-k)^2= r^2 $[/tex]
Now the equation of the fourth circle when the radius changes by 10 miles is :
[tex]$(x-h)^2+(y-k)^2= (r+ 40 )^2$[/tex]
It’s real simple just answer it
Answers
Answer:
-6 and negative 1 with the bio
Step-by-step explanation:
solve for x. 2x+17+3x = 4+3x+3
Answers
Answer:
x = -5
Step-by-step explanation:
2x + 17 + 3x = 4 + 3x + 3
5x + 17 = 3x + 7
5x - 3x = 7 - 17
2x = -10
x = -5
Step-by-step explanation:
5x+17=3x+7
5x-3x=-17+7
2x=-10
x=-5
*can you help me back please
Luke's answer makes sense or is nonsense.His model is correct or incorrect. There are [blank] not 3 inches, in a foot.
Answers
for each of the following find the missing sides
Answers
Answer:
the missing side is 90 because is a right triangle
. Find the cost of lodging: Four people staying for three nights at a cabin priced at $36.00 per night for two people, plus $3.50 per additional person
Answers
when can a parallelogram also be a kite?
Answers
9514 1404 393
Answer:
when it is a rhombus
Step-by-step explanation:
A kite is a figure in which the diagonals are perpendicular, and one of them is bisected by the other. It will be a parallelogram if both diagonals bisect each other. Such a figure (with mutually perpendicular bisectors as diagonals) is a rhombus.
A parallelogram that is a rhombus will also be a kite.
Betty has $40 in her pocket. She brought 12 identical bags of popcorn. Betty was left with $10 after buying the popcorn. What was the price, in dollars, of each bag of popcorn?
(a) 0.55
(b) 2.50
(c) 4.17
(d) 5.20
Answers
Answer:
2.50 (b)
Step-by-step explanation:
30 divided by 12 is 2.5 which is equal to 2.50 :)
Answer:
b) 2.50
Step-by-step explanation:
$40 - $10 = $30 spent on popcorn
$30/12 = $2.50 per bag
Please help this is due tomorrow!!!
Answers
Answer:
Use the Pythagorean therm
Step-by-step explanation:
A squared(one leg) + B square(one leg) = C(aka the hypotenuse)
brainlist plz
it takes Emma 18 minutes to type 14 pages of a manuscript. find how long it takes her to type 77 pages
Answers
Answer:
99 minutes
Step-by-step explanation:
18/14 = 1.286 minutes per page
1.286 x 77 = 99 minutes
Factor the expression -8x 2+ 22x - 15
Answers
Graph the line.
Y= 4/3 x
Answers
Answer:
hope this helps :)
Step-by-step explanation:
Help please and why
Answers
Because with you divided 16 1.25
HELP PLEASE!!! LOOK AG PICTURE -which table represents a quadratic function? justify your answer
Answers
Answer:
table two
Step-by-step explanation:
The increase rate for table one is constant that's why it is a linear function
In the second table, however, the increase rate increases as x increases, it is not constant; therefore, table two is a quadratic function.
What is the expected value when rolling a fair 12-sided die?
Answers
Answer:
I think 1/12
Step-by-step explanation:
since the question didn't specifically the possibility of a certain number shown.
note this applies to probability related questions
Which method of calculating finance charge results in the lowest finance charge? a. average daily balance b. previous balance c. ending balance d. adjusted balance Please select the best answer from the choices provided A B C D
Answers
Answer: D
Step-by-step explanation:
adjusted balance
Answer:
above is correct
Step-by-step explanation:
d
PLSSS ANSWER JUST PUT THE NUMBER OF THE QUESTION THEN THE ANSWER PLS HELP ITS OVERDUE AND IM GONNA FAIL 7TH GRADE :(
I WILL GIVE BRAINLIEST EVERYONE KEEPS GIVING ME RANDOM LINKS IM CRYIING :( I WOULD BE SO GRATEFUL IF U HELPED UR A LIFE SAVER
Answers
Answer:
11= 21
12= -12
13= -72
14= -1
Step-by-step explanation:
Answer:
11) 21
12) -5
13) 8
14) 9
Step-by-step explanation:
i passed 7th grade (teehee)
Fran has 18 paperback books and 24 hardcover books. What is the ratio of hardcover to paperback books?
WILL GIVE BRAINLIEST
3:4
4:3
3:7
7:3
Answers
Clara has 3 bottles of paint. She buys 5 more bottles of paint. If she uses 1/4 bottle of paint to paint a picture, how many similar paintings can she paint with all the paint?
ANSWER:
She has 3+5=8 bottles of paint. 1/4 bottle paints a picture.
8 divided by 1/4 = 32 paintings possible with all the paint
Answers
Answer:
32 Paintings
Step-by-step explanation:
8 Bottles 4 per one bottle so 8x4 =32
Hoped this helped.
If your weekly salary is $1780 and taxes takes out $440, then what percent do you pay in taxes?
Round your answer to 1 decimal place.
Answers
Answer:
24.7
Step-by-step explanation:
If your weekly salary is $1780 and taxes takes out $440, then 24.7% you pay in taxes.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that the weekly salary is One thousand seven hundred and eighty $1780.
Taxes takes out is four hundred and forty $440.
We need to find the percent of tax we have paid.
This can be found by as below.
1780x=440
Divide both sides by 1780
x=440/1780
x=0.247
Now multiply with 100 as it is a hundredth part
0.247×100=24.7%
Hence, 24.7% is the percentage of tax we have paid.
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ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !
Answers
The dot isn’t shaded so > or <
From -55, it’s showing small than
From -49, it’s showing greater than
x < -55 or x > -49
Answer: x < -55 or x > -49
Step-by-step explanation:
x < -55 or x > -49
They both start with an opened circle, and also these two opened circle dots do not connect to each other. On the left side, the number is going from -55 to the smaller side, -57 or less, so we can say that x is smaller than -55. On the right side, the number goes from -49 to the bigger number, we can say that x is greater than -49.
Write a recursive formula and an explicit formula for the following arithmetic sequence.
5, 3, 1, -1, ...
A recursive formula is a1 = , an = |
(Simplify your answers. Use integers or decimals for any numbers in the expressions.)
An explicit formula is an =
(Simplify your answer. Use integers or decimals for any numbers in the expression.)
Answers
Answer:
Step-by-step explanation:
12x^3-8x^2-32x factoring
Answers
Answer:
= 4x (3x+4) (x−2)
Step-by-step explanation:
12x^3−8x^2−32x
= 4x (3x+4) (x−2)
1.
Which equation has a solution of 8?
A = 16
C 8
B =
r
8
B 4r = 16
D-2r= -16
Answers
Answer:
it's x + 2 = 10 ,x - 4 = 4 , 3 x =24 and x over 8 = 1
Step-by-step explanation:
I guess that's the right answer
in the figure below ABC- XZY
find cosZ, sin Z, tan Z
round your answer to the nearest hundredth
Answers
The magnitude of angle Z include the following:
cosZ = 0.471
sinZ = 0.88
tanZ = 1.875
How to calculate the magnitude of angle Z?In order to determine the magnitude of angle Z, we would apply the basic trigonometric ratio because the given side lengths represent the adjacent side, opposite side, and hypotenuse of a right-angled triangle.
cos(θ) = Adj/Hyp
Where:
Adj represents the adjacent side of a right-angled triangle.Hyp represents the hypotenuse of a right-angled triangle.θ represents the angle.For cosZ, we would apply the cosine trigonometric ratio as follows;
cosZ = 13.6/28.9
cosZ = 0.4706
Z = cos⁻¹(0.4706)
Z = 61.93°.
For sinZ, we would apply the sine trigonometric ratio as follows;
sinZ = 25.5/28.9
sinZ = 0.8824
Z = sin⁻¹(0.8824)
Z = 118.07.
For tanZ, we would apply the sine trigonometric ratio as follows;
tanZ = 25.5/13.6
tanZ = 1.875
Z = tan⁻¹(1.875)
Z = 61.93.
5th grade math. correct answer will be marked brainliest
Answers
Answer:
8
Step-by-step explanation:
4/5 of 10 is 8
4/5*10
Answer:
zack has 8 stamps.
Step-by-step explanation:
total stamps: 10
fifths: 10 divided by 5 = 2
so each part is worth 2 stamps.
so now : 2 x 4 = 8
therefore 8 is answer.
im not wrong
im am a high schooler
now mark me brainlist please.
hope it helps.
HELPPP!!!
John is packing a box that is shaped like a cube and
has an edge that is 15 centimeters long. How much
space is available in the box for John to pack?
Answers
Answer:
810
Step-by-step explanation:
multiply them.
Your welcome,
Please find the answer
Answers
Answer:
it's 6.2
Step-by-step explanation:
6.2 is the only number that shows up more than once.
7.3 Times 10 to the power of two
Answers
Answer: the answer is 730
Step-by-step explanation:
Hope this helps you! Have a good day! :)