Free Printable Function Operations

1.

f(x) = 5x - 7

g(x) = 3x + 10

Find (f + g)(x).

a)

8x²+ 3

b)

8x + 3

c)

8x - 3

d)

15x² - 70

2.

f(x) = 5x - 7

g(x) = 3x + 10

Find (f - g)(x).

a)

2x - 3

b)

2x + 17

c)

2x + 3

d)

2x - 17

3.

f(x) = 5x - 7

g(x) = 3x + 10

Find (g - f)(x).

a)

2x - 3

b)

-2x + 3

c)

-2x + 17

d)

2x - 17

4.

f(x) = 5x - 7

g(x) = 3x + 10

Find (f ⋅ g)(x).

a)

15x² - 70

b)

15x - 70

c)

15x² + 31x - 70

d)

15x² + 29x - 70

5.

f(x) = x² - 5x - 8

g(x) = 4x² - x + 3

Find (f + g)(x).

a)

5x⁴ - 6x² - 5

b)

4x² + 5x + 5

c)

4x² + 5x - 5

d)

5x² - 6x - 5

6.

f(x) = x² - 5x - 8

g(x) = 4x² - x + 3

Find (f - g)(x).

a)

-3x² + 6x + 11

b)

-3x² + 4x - 5

c)

-3x² - 4x - 11

d)

-3x² - 6x - 5

7.

f(x) = x² - 5x - 8

g(x) = 4x² - x + 3

Find (g - f)(x).

a)

-3x² - 4x - 11

b)

3x² + 4x + 11

c)

-3x² + 6x - 5

d)

-3x² - 6x - 5

8.

f(x) = 6x - 4

g(x) = 2x - 7

Find (f ⋅ g)(x).

a)

12x² + 50x - 28

b)

12x² - 34x + 28

c)

12x² + 28

d)

12x² - 50x + 28

9.

f(x) = 3x² - 4x + 5

g(x) = 5x - 1

Find (f ⋅ g)(x).

a)

15x³ - 23x² + 29x - 5

b)

15x³ - 4x - 5

c)

15x³ + 4x + 5

d)

15x³ + 23x² - 29x - 5

10.

f(x) = -6x⁷- 2x³ + 5x²

g(x) = 2x⁷ + 3x²

Find (f + g)(x).

a)

-4x¹⁴ + x⁵ + 5x²

b)

-4x⁷ - 2x³ + 8x²

c)

-4x¹⁴ - 2x³ + 8x⁴

d)

-4x⁷ + 8x⁴

11.

f(x) = x²+ 9

g(x) = x - 6

Find (f - g)(x).

a)

x²+ x + 3

b)

x²- x + 3

c)

x³ + 3

d)

x²- x + 15

12.

f(x) = x²+ 9

g(x) = x - 6

Find (f ⋅ g)(x).

a)

x³- 6x²+ 9x - 54

b)

x²+ x - 54

c)

x^{3 +} 6x²- 9x - 54

d)

x³ - 54

13.

Using this table, find f(6).

(a)

14.

Using this table, find f(10).

(a)

15.

Using this table, find f(2).

(a)

16.

Using this table, solve f(x)=-3

(a)

17.

Using this table, solve f(x)=14.

(a)

18.

Using this table, solve f(x)=18.

(a)

19.

Using this table, solve g(x)=3.

(a)

20.

Using this table, solve g(x)=2.

(a)

21.

Using this table, find g(0).

(a)

22.

Using this mapping diagram, find g(-3).

(a)

23.

Using this mapping diagram, find g(0).

(a)

24.

Using this mapping diagram, solve g(x)=36.5

(a)

25.

What is the range of the graph?

a)

[-7, 5)

b)

(-3, 1]

c)

[-3, 1)

d)

(-7, 5]

26.

What is the domain?

a)

[-2, 3]

b)

[-2, 3)

c)

(-2, 3]

d)

[-3, 4]

e)

(-3, 4]

27.

What is the range?

a)

[-3, 4]

b)

(-3, 4)

c)

(-3, 4]

d)

(-2, 3]

e)

[4, -3]

28.

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

29.

What is the range?

a)

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

b)

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

c)

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

d)

None of the answer choices

e)

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

30.

What is the domain?

a)

$\left(\infty,-2\right]$

b)

$\left[-2,\ \infty\right)$

c)

[-2,3]

d)

$\left(-\infty,\ -2\right]$

e)

None of the answer choices

31.

What is the range of the graph?

a)

(-∞,∞)

b)

[-1,0]

c)

[-1,3]

d)

[3,∞)

32.

What is the domain of the function?

a)

(3, ∞)

b)

[-3, ∞)

c)

(-∞, 4]

d)

(-∞, 4)

33.

What is the range?

a)

(-3, 3)

b)

[-4, 5)

c)

[-4 , 5]

d)

(-3 , 3]

34.

What is the domain of the graph?

a)

[1,∞)

b)

(-∞,1]

c)

(-∞,∞)

d)

[-∞,∞]

35.

What is the range of the graph?

a)

[1, ∞)

b)

(1, ∞)

c)

(-∞, ∞)

d)

none of these

36.

What is the domain of the graph?

a)

[ -∞, ∞]

b)

(-∞,∞)

c)

[-3 , 3]

d)

[-15, 9]

37.

What is the range of the graph?

a)

[-15, 9]

b)

(-∞, ∞)

c)

(-15, ∞)

d)

[-15, ∞)

38.

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

a)

Domain

b)

Range

c)

Relation

d)

Function

39.

What is the range of the graph?

a)

(-∞,∞)

b)

[0,∞)

c)

(0,5)

d)

[-1,∞)

40.

In interval notation, positive and negative ∞ are always closed in by ______.

a)

( ) Parentheses

b)

[ ] Square Brackets

c)

{ } Curly Brackets

41.

DOMAIN is found by reading the ends of a graph from ___ to ___.

a)

Right to left

b)

Left to right

c)

Bottom to top

d)

Top to bottom

42.

RANGE is found by reading the ends of a graph from ___ to ___.

a)

Right to left

b)

Left to right

c)

Bottom to top

d)

Top to bottom

43.

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

a)

Domain

b)

Range

c)

Relation

d)

Function

44.

What is the range?

a)

-4 < x ≤ 5

b)

-4 ≤ x < 5

c)

-3 < y < 3

d)

-3 ≤ y ≤ 3

45.

What is the DOMAIN of this graph?

a)

x < -3

b)

x ≤ -3

c)

x > -3

d)

x ≥ -3

46.

What is the Range?

a)

y ≥ 6

b)

$-\infty<y\le6$

c)

-10 ≤ y ≤ 6

d)

-10 ≤ x ≤ 6

47.

a)

{-2, 3, 7}

b)

[-2, 7]

c)

{1, 2, 3, 4}

d)

[1, 4]

48.

Given the function g(x)=2x and the domain {0, 2, 4}, what is the range?

a)

{0, 1, 2}

b)

{0, 4, 8}

c)

{2, 4, 8}

d)

{1, 2, 3}

49.

Given the function g(x)=x-1 and the range {-1, 1, 2}, what is the domain?

a)

{0, 2, 3}

b)

{-2, 0, 1}

c)

{-1, 1, 2}

d)

{2, 0, 1}

50.

a)

{1, 2, 3, 4, 5}

b)

{-1, 1, 2, 3}

c)

{1, 2, 3, 5}

d)

[1, 5]

51.

Is relation shown a function?

a)

YES

b)

NO

52.

Is this a function? Explain.

a)

Yes; it passes the horizontal line test.

b)

No; it is not a straight line.

c)

Yes; it passes the vertical line test.

d)

No; it does not pass the vertical line test

53.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

54.

Which graph represents a function?

a)

b)

c)

d)

Function Operations

Total questions: 54

Worksheet time: 41mins

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