Free Printable UNIT 1 Functions

1.

$f\left(x\right)=5x-12$ What is $f\left(-4\right)$

a)

-32

b)

-3

c)

-12

d)

3

2.

$Evaluate\ the\ function\ for\ f\left(-9\right)\ if\ f\left(x\right)=\frac{3}{5}x+8$

a)

$\frac{67}{5}$

b)

$-\frac{13}{5}$

c)

$-\frac{67}{5}$

d)

$\frac{13}{5}$

3.

$Given\ h\left(x\right)=3x^2-2x+8\ what\ is\ h\left(2\right)?$

a)

13

b)

8

c)

16

d)

answer not here

4.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each y-value has only one x-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each y-value has only one x-value paired with it.

5.

For the function f(x) = -3(x-1) find f(0).

a)

0

b)

-3

c)

3

d)

-1

6.

If f(x)=x+5, what is f^-1(x)?

a)

(x + 5)²

b)

x - 5

c)

(x + 5)^-1

d)

undefined

7.

$f\left(x\right)=\frac{3x+10}{7}$
Find $f^{-1}\left(x\right)$

a)

$7x-\frac{10}{3}$

b)

$\frac{7x}{3}-10$

c)

$\frac{7\left(x-10\right)}{3}$

d)

$\frac{7x-10}{3}$

8.

The name of all the possible inputs of a function:

a)

Domain

b)

Range

9.

The name of all of the possible outputs of a function:

a)

Domain

b)

Range

10.

Name this Function:

a)

Constant

b)

Quadratic

c)

Absolute Value

d)

Cubed Root

11.

Name this Function:

a)

Constant

b)

Linear

c)

Simple Rational

d)

Cubic

12.

Name this Function:

a)

Constant

b)

Linear

c)

Simple Rational

d)

Cubic

13.

Name this Function:

a)

Constant

b)

Quadratic

c)

Absolute Value

d)

Cubed Root

14.

Level 3 Which equation matches the table?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

x = y - 5

15.

How would you write y = 2x - 3 in function notation?

a)

y = 2x-3

b)

f = 2x - 3

c)

f(x) = 2x-3

16.

Given g(x) = 4x - 7 and g(x) = 13, find x.

a)

g(-9) = 29

b)

x = 5

c)

g(-9) = -43

d)

x = 5/4

17.

What is the domain?

a)

$\left(-\infty,\ -3\right]$

b)

$\left[3,\ -\infty\right)$

c)

$\left(-\infty,3\right]$

d)

$\left(-\infty,\infty\right)$

e)

None of the answer choices

18.

What is the range?

a)

[-3, 4]

b)

(-3, 4)

c)

(-3, 4]

d)

(-2, 3]

e)

[4, -3]

19.

The set of all x-values used to graph a function are called the ____.

a)

Domain

b)

Range

c)

Relation

d)

Function

20.

Find f(-2)

a)

-3

b)

6

c)

8

d)

-6

21.

Find f(0)

a)

-3

b)

18

c)

4

d)

0

22.

Find h(5) using the equation.

a)

-25

b)

25

c)

3

d)

7

e)

undefined

23.

Evaluate the function when x = 6

a)

f(6) = -5

b)

f(6) = 4

c)

f(6) = 2

d)

f(6) = 7

24.

What is the y-intercept of the function?

a)

2

b)

3

c)

1

d)

-2

25.

What type of function is $f\left(x\right)=3\ •\ 5^{-x}$ ?

a)

Exponential Growth

b)

Exponential Decay

26.

What is g(7) if:

a)

-17

b)

-13

c)

13

d)

17

27.

Find f(-2)

a)

-3

b)

6

c)

8

d)

-6

28.

Match the graph with the correct equation.

a)

b)

c)

d)

29.

Find h(5) using the equation.

a)

-25

b)

25

c)

3

d)

7

e)

undefined

30.

Evaluate f(3)=

a)

-1

b)

-7

c)

4

d)

5

31.

How many "pieces" are graphed in this function?

a)

1

b)

2

c)

3

d)

4

32.

Which set of ordered pairs is a function?

a)

{(9,5), (10,5), (9,-5), (10,-5)}

b)

{(3,4), (4,-3), (7,4), (3, 8)}

c)

{(6,-5), (7, -3), (8, -1), (9, 1)}

d)

{(2, -2), (5, 9), (5, -7), (1, 4)}

33.

Find two explicitly-defined functions to describe the relation given by $x^2+y^2=100$

a)

$y=\sqrt{100-x^2}$
$y=-\sqrt{100-x^2}$

b)

$y\ =\sqrt{100-x^2}$
$y\ =\ \sqrt{-100+x^2}$

c)

$y\ =10\ -x$
$y\ =\ 10+x$

d)

$y\ =\ 10\ -\ x$
$y=-10\ +\ x$

34.

Find two explicitly-defined functions to describe the relation given by $x^2\ +y^2+2y=8$

a)

$y=\sqrt{9-x^2}-1$
$y=-\sqrt{9-x^2}-1$

b)

$y\ =\sqrt{9-x^2}-1$
$y\ =\ -\sqrt{9-x^2}+1$

c)

$y\ =2-x$
$y\ =\ -4+x$

d)

$y\ =\ \sqrt{8}\ -x-17$
$y=-\sqrt{8}\ +\ x-1$

35.

What is the range?

a)

-4 < x ≤ 5

b)

-4 ≤ x < 5

c)

-3 < y < 3

d)

-3 ≤ y ≤ 5

36.

Classify the equation as Implicit or Explicit.
$y=x^3+6x-7$

a)

Implicit

b)

Explicit

c)

Neither

d)

Both

37.

Classify the equation as Implicit or Explicit.
$3x-5y=10$

a)

Implicit

b)

Explicit

c)

Neither

d)

Both

38.

How many zeros and y-intercepts are there?

a)

3 zeros
0 y-intercepts

b)

3 zeros
1 y-intercepts

c)

1 zeros
3 y-intercepts

d)

3 zeros
2 y-intercepts

39.

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

a)

f^-1(x) = 4x - 3

b)

f^-1(x) = -1/4x - 3

c)

f^-1(x) = 1/4x + 3

d)

f^-1(x) = -4x - 3

40.

$f\left(x\right)=\frac{3x+10}{7}$
Find $f^{-1}\left(x\right)$

a)

$7x-\frac{10}{3}$

b)

$\frac{7x}{3}-10$

c)

$\frac{7\left(x-10\right)}{3}$

d)

$\frac{7x-10}{3}$

UNIT 1 Functions

Total questions: 40

Worksheet time: 2hrs 30mins

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