Quiz about Inverse Review

Question 1

What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)

Accepted Answer

(2, 1) (8, 3) (6, -3)

Answer

(1, 2) (3, 8) (-3, 6)

Answer

(1, 2) (8, 3) (-3, 6)

Answer

(-1, -2) (-3, -8) (3, -6)

Question 2

Find the inverse of
f(x) = 1/4x - 7

Accepted Answer

f^-1(x) = 4x + 28

Answer

f^-1(x) = 4x + 7

Answer

f^-1(x) = -4x + 28

Answer

f^-1(x) = -4x - 7

Question 3

Are the following inverses of each other?

Accepted Answer

False

Answer

True

Question 4

Was the inverse function found correctly?

Accepted Answer

no,

Answer

yes

Question 5

When finding the inverse of a relation,
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?

Accepted Answer

solve for y

Answer

replace y with f^-1(x)

Answer

solve for x

Answer

find the greatest common factor

Question 6

What does it mean to find the inverse of a function?

Accepted Answer

the x's and y's are switched

Answer

the x's and y's are divided by 2

Answer

the x's and y's are made negative

Answer

the x's and y's are the same

Question 7

Which set of ordered pairs represents a function?

Accepted Answer

$$\left\{\left(4,1\right),\left(2,2\right),\left(3,1\right)\right\}$$

Answer

$$\left\{\left(1,3\right),\left(4,1\right),\left(1,4\right)\right\}$$

Answer

$$\left\{\left(4,2\right),\left(2,3\right),\left(4,4\right)\right\}$$

Answer

$$\left\{\left(3,1\right),\left(2,3\right),\left(3,1\right)\right\}$$

Question 8

What is the slope and y-intercept of the given function $$f\left(x\right)=-\frac{2}{3}x+3$$

Accepted Answer

$$m=-\frac{2}{3}\ y-int:\left(0,3\right)$$

Answer

$$m=\frac{2}{3}\ y-int:\left(0,-3\right)$$

Answer

$$m=-\frac{2}{3}\ y-int:\left(0,-3\right)$$

Answer

$$m=\frac{2}{3}\ y-int:\left(0,3\right)$$

Question 9

What is the Domain and Range from the given graph?

Accepted Answer

$$D=\left\{-2,-1,2,3\right\}$$

$$\ R=\left\{-3,1,2,3\right\}$$

Answer

$$\ D=\left\{-2,-1,3,4\right\}$$

$$\ R=\left\{-4,1,2,3\right\}$$

Answer

$$\ D=\left\{-2,1,2,3\right\}$$ $$\ R=\left\{-3,1,2,4\right\}$$

Answer

$$\ D=\left\{-2.-1,1,3\right\}$$

$$\ R=\left\{-3,-1,2,3\right\}$$

Question 10

Find the inverse of the function, $$f\left(x\right)=2x^{2\ }-5$$

Accepted Answer

$$f^{-1}\left(x\right)=\sqrt{\ \frac{x+5\ }{2}}$$

Answer

$$f^{-1}\left(x\right)=\sqrt{\ \frac{x-5\ }{2}}$$

Answer

$$f^{-1}\left(x\right)=-\sqrt{\ \frac{x-5\ }{2}}$$

Answer

$$f^{-1}\left(x\right)=-\sqrt{\ \frac{x+5\ }{2}}$$

Question 11

Find the inverse of the function, $$f\left(x\right)=6x^{\frac{1}{3}}$$

Accepted Answer

$$f^{-1}\left(x\right)=\frac{x^3}{6^3}$$

Answer

$$f^{-1}\left(x\right)=6x^3$$

Answer

$$f^{-1}\left(x\right)=\frac{x^{\frac{1}{3}}}{6}$$

Answer

$$f^{-1}\left(x\right)=-\frac{x^3}{6}$$

Question 12

What is the inverse of the following function, $$f\left(x\right)=4\left(x+1\right)^{\frac{1}{2}}-3$$

Accepted Answer

$$f^{-1}\left(x\right)=\frac{\left(x+3\right)^2}{16}-1$$

Answer

$$f^{-1}\left(x\right)=\frac{\left(x+3\right)^2}{16}+1$$

Answer

$$f^{-1}\left(x\right)=\frac{\left(x-3\right)^2}{16}-1$$

Answer

$$f^{-1}\left(x\right)=\frac{\left(x-3\right)^2}{16}+1$$

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