Free Printable Module 1 Exercise 5

1.

Which is a one-to-many relation?

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)}

2.

Does this relation represent a function?

a)

No

b)

Yes

3.

Which type of relation is represented by the given graph?

a)

one-to-one relation

b)

one-to-many relation

c)

many-to-one relation

4.

For h(x) = x³ + 2x, find h(4).

a)

20

b)

14

c)

64

d)

72

5.

Given the function below, what is q(-5)?

q\left(x\right)=x^2-4

a)

21

b)

6

c)

-14

d)

-29

6.

Evaluate f(0).

a)

4

b)

6

c)

0

d)

2

7.

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

a)

$7x^2-1$

b)

$7x^2+1$

c)

$7x-1$

d)

$7x+1$

8.

If $f\left(x\right)\ =6\ x-1$ and $g\left(x\right)=5x-2$ , then $\left(f-g\right)\left(x\right)=$

a)

$x-1$

b)

$x+1$

c)

$x-3$

d)

$x+3$

9.

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)

$5x-7$

10.

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)

$-4x-3$

d)

$4x-3$

11.

If $f\left(x\right)=x-5$ and $g\left(x\right)=3x+2$ find $\left(f\circ g\right)\left(x\right)$

a)

$3x-13$

b)

$3x+13$

c)

$3x-3$

d)

$3x+3$

12.

If $f\left(x\right)=\frac{1}{x}$ and $g\left(x\right)=3x+2$ find $\left(g\circ g\right)\left(-4\right)$

a)

44

b)

-40

c)

-30

d)

-28

13.

Evaluate

f\left(x\right)=\left|2x+5\right|

when

x=-3

(a)

14.

Evaluate f(-4)

a)

-3

b)

-5

c)

-9

d)

20

15.

Evaluate f(2.7)

(a)

Module 1 Exercise 5

Total questions: 15

Worksheet time: 12mins

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