Free Printable Functions Form 4

1.

Given $f\left(x\right)=\sqrt{4x-4}$ and $g\left(x\right)=3x+1$ , find $\left(g\circ f\right)\left(1\right)$ in simplest form.

a)

undefined

b)

-1

c)

0

d)

1

2.

Given $f\left(x\right)=\sqrt{4x-4}$ and $g\left(x\right)=3x+1$ , find $\left(g\circ g\right)\left(x\right)$ in simplest form.

a)

$9x+4$

b)

$12x-2$

c)

$12x-6$

d)

$9x+3$

3.

Given $f\left(x\right)=\sqrt{4x-4}$ and $g\left(x\right)=3x+1$ , find $\left(f\circ g\right)\left(3\right)$ in simplest form.

a)

-12

b)

6

c)

$2\sqrt{2}$

d)

$\sqrt{34}$

4.

Given $f\left(x\right)=3x-6$ and $g\left(x\right)=x^2+4$ , find $\left(g\circ f\right)\left(-1\right)$

a)

13

b)

85

c)

9

d)

65

5.

Given $f\left(x\right)=3x-6$ and $g\left(x\right)=x^2+4$ , find $\left(g\circ f\right)\left(x\right)$ in simplest form.

a)

$9x^2-36x$

b)

$9x^2+42$

c)

$9x^2+36x-42$

d)

$9x^2-36+40$

6.

Given $f\left(x\right)=5x+7$ and $g\left(x\right)=3+4x$ , find $\left(f\circ g\right)\left(x\right)$ in simplest form.

a)

$15+16x$

b)

$31+20x$

c)

$22+20x$

d)

$42+25x$

7.

a)

9 - √17

b)

4

c)

2

d)

√8

8.

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

9.

Find h(g(x))

a)

2x + 6

b)

2x + 3

c)

2x² + 6

d)

2x² + 3

10.

If f(x) = x² and g(x) = 3x - 1, find f(g(x))

a)

9x² - 6x + 1

b)

3x - 1

c)

3x² - 1

d)

9x² - 1

11.

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

12.

Which expression represents g(f(x)) if f(x) = 2x - 8
and
g(x) = 4x

a)

8x - 32

b)

8x² - 32x

c)

8x - 8

d)

6x - 8

13.

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of g(f(-2)).

a)

-14

b)

20

c)

6

d)

7

14.

What is f(g(3))?

a)

1/8

b)

8

c)

1/4

d)

1/2

15.

Given f(x) = 3x + 10
and g(x) = x - 2
Find f(g(5))

a)

19

b)

23

c)

-10

d)

None of these.

16.

Which mapping diagram is not a function?

a)

b)

c)

d)

17.

For the set of ordered pairs (x, f(x)): (2, 10), (4, 20), (7, 35), (11, 55), what is the function f(x)?

a)

f(x) = x + 8

b)

f(x) = 10x

c)

f(x) = 7x - 12

d)

f(x) = 5x

18.

For the function: f(x) = 7(x - 11), f (16) = _____

a)

5

b)

35

c)

16

d)

28

19.

What is the domain of the graph shown?

a)

{-2, -1, 0, 1, 2, 3, 4}

b)

{2, 3, 4}

c)

2 ≤ y ≤ 4

d)

-2 ≤ x ≤ 4

20.

Give the range of the set of ordered pairs: (2, 11), (9, -3), (7, 21), (-8, 6)

a)

{2, 9, 7, -8}

b)

{11, -3, 21, 6}

c)

-8 < x < 9

d)

-3 < y < 21

21.

Relation is the matching of items from set A to set B. Relations can be represented by using the following, EXCEPT

a)

arrow diagram

b)

graph

c)

ordered pair

d)

chart

22.

Relations that is a FUNCTION is

a)

One-to-one relation

b)

One-to-many relation

c)

Many-to-many relation

d)

All of the above relations

23.

What is the type of the relation?

a)

One-to-one relation

b)

One-to-many relation

c)

Many-to-one relation

d)

Many-to-many relation

24.

What is the type of the relation?

a)

Many-to-one relation

b)

One-to-one relation

c)

Many-to-many relation

d)

One-to-many relation

25.

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.

26.

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

27.

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)}

28.

a)

Yes

b)

No

29.

Is this is a function or not a function?

a)

Function

b)

Not a Function

30.

a)

Yes

b)

No

Functions Form 4

Total questions: 30

Worksheet time: 39mins

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