Free Printable MAJOR EXAM: FUNCTIONS

1.

Is the relation above a function?

a)

Yes, because it doesn’t show any repeating 𝑥 values in the domain.

b)

Yes, because every 𝑦 value in the range is different.

c)

No, because one 𝑥 value in the domain goes to multiple different 𝑦 values in the range.

d)

No, because there is an 𝑥 value in the domain that is equal to a 𝑦 value in the range.

2.

Is this table a function or not a function?

a)

Function

b)

Not a Function

3.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

4.

Is this a function?

a)

Yes

b)

No

5.

Let 𝑓(𝑥)=𝑥−7. Find the value of 𝑓(2).

a)

5

b)

-7

c)

7

d)

-5

6.

What is the domain?

a)

the set of all x-values

b)

the set of all y-values

7.

What is the range?

a)

the set of all x-values

b)

the set of all y-values

8.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D:{0, 1, 2, -4}
R:{1, -3, -4}

c)

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

9.

What is the range of the function?

a)

[-1, +∞)

b)

(-1,1)

c)

[1.5, +∞)

d)

(-2, 2)

10.

What is the range?

a)

[-∞, +∞]

b)

[-2, 2]

c)

(-∞, ∞)

d)

[0, 2]

11.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

12.

A relation where every input yields one and only one output is called what?

a)

Relation

b)

Linear

c)

Exponential

d)

Function

13.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

14.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

15.

Which relation is NOT a function?

a)

{(1,-5), (3,1), (-5,4), (4,-2)}

b)

{(2,7), (3,7), (4,7), (5,8)}

c)

{(1,-5), (-1,6), (1,5), (6,-3)}

d)

{(3,-2), (5,-6), (7,7), (8,8)}

16.

Which relation is NOT a function?

a)

{(1,-5), (3,1), (-5,4), (4,-2)}

b)

{(2,7), (3,7), (4,7), (5,8)}

c)

{(1,-5), (-1,6), (1,5), (6,-3)}

d)

{(3,-2), (5,-6), (7,7), (8,8)}

17.

Which of the following is not a function?

a)

{(0,1), (1,2), (2,3), (3,4)}

b)

{(0,2), (1,3), (4,3), (1,2)}

c)

{(1,3), (4,2), (2,0), (3,4)}

d)

{(1,2), (2,2), (3,2), (4,2)}

18.

Is the relation a function? Why.

a)

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

b)

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

c)

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

d)

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

19.

Is this a function?

a)

Yes

b)

No

20.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

21.

If $f\left(x\right)\ =\ x-1$ and $g\left(x\right)=5x-2$ , then $\left(f+g\right)\left(x\right)=$

a)

$5x^2+1$

b)

$5x^2-3$

c)

$6x+1$

d)

$6x-3$

22.

If $f\left(x\right)\ =\ x-1$ and $g\left(x\right)=5x-2$ , then $\left(f-g\right)\left(x\right)=$

a)

-4x - 3

b)

-4x +1

c)

6x + 1

d)

6x - 3

23.

If $f\left(x\right)\ =\ x-1$ and $g\left(x\right)=5x-2$ , then $\left(f\cdot g\right)\left(x\right)=$

a)

$5x-3$

b)

$5x^2+2$

c)

$5x^2-7x+2$

d)

$5x-7$

24.

If $f\left(x\right)\ =\ x-1$ and $g\left(x\right)=5x-2$ , then $\left(\frac{f}{g}\right)\left(x\right)$

a)

$\frac{x-1}{5x-2}$

b)

$\frac{5x-2}{x-1}$

c)

$\frac{-1}{3}$

d)

$-3$

25.

If $f\left(x\right)\ =\ 3x^2-4$ and $g\left(x\right)=x^2-8x+4$ , then $\left(f+g\right)\left(x\right)=$

a)

$4x^4-8x-8$

b)

$4x^4-8x$

c)

$4x^2-8x-8$

d)

$4x^2-8x$

26.

If $f\left(x\right)\ =\ 3x^2-4$ and $g\left(x\right)=x^2-8x+4$ , then $\left(f-g\right)\left(x\right)=$

a)

$2x^2-8x-8$

b)

$2x^2+8x-8$

c)

$2x^2-8x$

d)

$2x^2+8x$

27.

If $f\left(x\right)\ =\ 3x^2-4$ and $g\left(x\right)=x^2-8x+4$ , then $\left(f\cdot g\right)\left(x\right)=$

a)

$3x^4-24x^3+8x^2+32x-16$

b)

$3x^4-8x-16$

c)

$3x^4-24x^3+8x^2-32x-16$

d)

$3x^4-24x^3+16x^2+32x-16$

28.

If $f\left(x\right)\ =\ 3x^2-4$ and $g\left(x\right)=x^2-8x+4$ , then $\left(\frac{f}{g}\right)\left(x\right)=$

a)

$\frac{3x^2-4}{x^2-8x+4}$

b)

$\frac{x^2-8x+4}{3x^2-4}$

c)

$\frac{3x^2-1}{x^2-8x}$

d)

$\frac{1}{-4x}$

29.

Given
f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

a)

11x² - 1

b)

5x⁴ + 6x² - 1

c)

5x² + 6x - 1

d)

5x² + 8x - 1

30.

f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f - g)(x).

a)

x² + 8x + 1

b)

x² + 6x - 1

c)

5x² + 8x - 1

d)

x² + 8x -1

31.

Given f(x) = 2x and
g(x) = x²+3 , find f(g(x)).

a)

x²+2x+3

b)

4x²+3

c)

2x²+3

d)

2x²+6

32.

a)

Function

b)

Not a Function

33.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

34.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

35.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

MAJOR EXAM: FUNCTIONS

Total questions: 35

Worksheet time: 1hrs 28mins

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