Free Printable chapter 1 : functions

1.

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

2.

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.

3.

a)

Function

b)

Not a Function

4.

Is this table a function or not a function?

a)

Function

b)

Not a Function

5.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

6.

Is this table a function or not a function?

a)

Function

b)

Not a Function

7.

Which set of values 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)

8.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

9.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

10.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

11.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

12.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

13.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

14.

Give the domain and range. Tell if it is a function.

a)

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

b)

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

c)

D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Not a Function

d)

D: {-4, -2, 0, 2}
R: {-2, 1}
Not a Function

15.

Which of these is NOT the same

a)

Range

b)

Input

c)

Dependent Value

d)

Y-Value

16.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

17.

What is the range of this function?

a)

(150, 275)

b)

[150, 275]

c)

[220, 265]

d)

(220, 265)

18.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

19.

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}

20.

a)

Function

b)

Not a Function

21.

If f(x)=3x-9, find f(5).

a)

f(5) = 6

b)

f(5) = 16

c)

f(5) = -4

d)

f(5) = 24

22.

If f(x)=2x+25, find f(5).

a)

f(5) = 60

b)

f(5) = 40

c)

f(5) = -15

d)

f(5) = 35

23.

a)

A

b)

B

c)

C

d)

D

24.

a)

A

b)

B

c)

C

d)

D

25.

Find f[g(5)]

a)

30

b)

242

c)

92

d)

2

26.

f(g(x))

a)

3x - 16

b)

3x - 2

c)

3x - 26

d)

4x - 2

27.

f(x) = x²+9
g(x) = x-9
Find f(x)-g(x).

a)

x²+x+9

b)

x²-x+9

c)

x²-x

d)

x²-x+18

28.

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of f(g(4)).

a)

182

b)

40

c)

61

d)

None of the Above

29.

f(x) = 3x + 10
g(x) = x - 2
Find g(f(x))

a)

3x + 8

b)

3x - 2

c)

3x + 4

d)

None of these.

30.

f(n)=2n+1
g(n)=3n
Find f(n)+g(n)

a)

5n+1

b)

-5n+1

c)

-2n+1

d)

-6n-1

31.

$f^{-1}:\ R\rightarrow R$ is such that $f^{-1}\left(x\right)=2x+1,$ then $f\left(x\right)=$

a)

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

b)

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

c)

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

d)

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

e)

$\frac{x+1}{2}$

32.

Function f and g are defined by $f\left(3\right)=-1$ and $g\left(-1\right)=5.$ Then $\left(g\circ f\right)^{-1}\left(5\right)=$

a)

-1

b)

5

c)

3

d)

4

e)

0

33.

A function $f:R\rightarrow R$ is given by $f\left(x\right)=7-kx$ and $f^{-1}\left(5\right)=1$ . Then k =

a)

-1

b)

2

c)

1

d)

-2

e)

4

34.

Are the following inverses of each other?

a)

True

b)

False

35.

Given f(x)= -3x + 7 and g(x)=2x² - 8, find g(f(x)).

a)

g(f(x))= -6x²+ 31

b)

g(f(x))= -6x²+ 24

c)

g(f(x))=18x²- 84x + 90

d)

g(f(x))=9x²- 42x - 41

chapter 1 : functions

Total questions: 35

Worksheet time: 1hrs 4mins

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