Free Printable Inverse Function

1.

What is the inverse of the points (1,3), (2,4), (6,8)?

a)

(3,1)(4,2)(8,6)

b)

(-3,-1)(-4,-2)(-8,-6)

c)

(1,3)(2,4)(6,8)

d)

(-1,-3)(-2,-4)(-6,-8)

2.

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

a)

The x's and y's are made negative

b)

The x's and y's are switched

c)

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

d)

The x's and y's are the same

3.

The inverse of a function f(x) is written as....

a)

$f^{-2}\left(x\right)$

b)

$f^2\left(x\right)$

c)

$f^1\left(x\right)$

d)

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

4.

The inverse has been reflected over the line?

a)

y=0

b)

y=1

c)

y=x

d)

y=x+1

5.

If the equation of (x) goes through (-1,4), and (4,6), what points does $f^{-1}\left(x\right)$ go through?

a)

(-4,1) and (-6,4)

b)

(4,-1) and (6,4)

c)

(1,-4) and (6,-4)

d)

(1,-4) and (-4,-6)

6.

Are these the graphs of two inverse?

a)

Yes

b)

No way to tell

c)

No

7.

When finding the inverse of a function,

first, replace f(x) with y

second, interchange x and y variables

what to do next?

a)

Solve for x

b)

Solve for y

c)

replace y with $f^{-1}\left(x\right)$

d)

Find the least common denominator

8.

Are the following inverses of each other?

a)

True

b)

False

9.

Find the inverse of f(x)=-4x-12.

a)

f(x)=4x-3

b)

$f\left(x\right)=-\frac{1}{4}x-3$

c)

$f\left(x\right)=\frac{1}{4}x+3$

d)

f(x)=-4x+3

10.

f(x)=5x+1 find $f^{-1}\left(x\right)$ .

a)

$\frac{x-5}{1}$

b)

$\frac{x}{5}-1$

c)

$x-\frac{1}{5}$

d)

$\frac{x-1}{5}$

11.

Are the inverse function?

a)

Yes

b)

No way to tell

c)

No

12.

What is the RANGE of the INVERSE function?

a)

(-5,1,3,4)

b)

(-2,0,7,-4)

c)

(-4,7,0,2)

d)

(7,4,0,3)

13.

Which of the following is NOT TRUE about inverse functions?

a)

Inverse functions is a reflection of each other over line y=x.

b)

The domain of a function is always the domain of its inverse.

c)

You find the inverse by switching the x and y in the equation.

d)

The domain of a function always become the range of its inverse.

14.

What's the best description?

a)

They are both functions, but not inverse functions.

b)

They are not reflected over x=y, and they are not both functions.

c)

They are reflected over x=y, but they are not both functions.

d)

They are inverse functions.

15.

What's the best description?

a)

They are both functions, but not inverse.

b)

They are not reflected over y=x, and they are not both functions.

c)

They are reflected over y=x, but they are not functions.

d)

They are inverse functions.

16.

Which is the inverse of the table?

a)

b)

c)

d)

17.

What is the FIRST step to take to solve for x in the equation?

a)

Add 9 to both sides.

b)

Divide both sides by 9.

c)

Take the square root of both sides.

d)

Multiply both sides by 9.

18.

Are the following inverses of each other?

a)

Yes

b)

No

c)

Maybe

19.

$g\left(x\right)=-7x^2+7$ find the inverse of a function.

a)

$g^{-1}\left(x\right)=\sqrt[5]{\frac{x-7}{7}}$

b)

$g^{-1}\left(x\right)=\sqrt[5]{-\frac{x-7}{7}}$

c)

$g^{-1}\left(x\right)=-\sqrt[5]{\frac{x-7}{7}}$

d)

$g^{-1}\left(x\right)=-\sqrt[5]{-\frac{x-7}{7}}$

20.

The function f(x)=3x+10 and $f^{-1}\left(x\right)=\frac{x-10}{3}$ are inverses of each other.

a)

True

b)

False

c)

No way to tell

21.

Which of the following illustrates an identity function?

a)

f(y)=x

b)

g(y)=x

c)

g(x)=x

22.

If the ordered pairs of a function g is the ordered pairs of a function f, then they are...

a)

One-to-one

b)

Inverse

c)

Symmetric

d)

Function

23.

It corresponds between the elements of two sets where every elements of the first set contains only one element in the second set.

a)

Inverse

b)

Symmetric

c)

Function

d)

One-to-one

24.

It is performed to verify whether a function is one-to-one or not.

a)

Vertical line test

b)

Horizontal line test

c)

Oblique line test

d)

y=x

25.

It is the line between the graphs of a function and its inverse.

a)

Horizontal line

b)

Vertical line

c)

Line of symmetry

d)

Oblique line

26.

How do you determine whether a function is an inverse of another function?

a)

Add the function

b)

Multiply the function

c)

Find the composite of the function

d)

Apply the horizontal line test

27.

Consider $f\left(x\right)=1-x^4$ . restrict the domain of the f(x) so that the restricted function is one-to-one.

a)

$x\ge0$

b)

$x\le-1$

c)

$x\ge0$

d)

$x\le1$

28.

What does an inverse function do?

a)

Nothing

b)

Makes it bigger

c)

Does the opposite of the original function

29.

Use the horizontal line test to determine if the function has an inverse function.

a)

Yes

b)

No

30.

Use the horizontal line test to determin if the function has an inverse function.

a)

Yes

b)

No

Inverse Function

Total questions: 30

Worksheet time: 31mins

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