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8.1.2 Function Representation

Total questions: 7

Worksheet time: 10mins

Name
Class
Date
1.

State the range for the following relation.

a)

{0, 8, 15, 16}\left\{0,\ 8,\ 15,\ 16\right\}

b)

{5, 2, 4}\left\{-5,\ 2,\ 4\right\}

c)

0, 8, 15, 160,\ 8,\ 15,\ 16

d)

5, 2, 4-5,\ 2,\ 4

2.

State the domain for the following relation.

a)

{9, 18, 20}\left\{9,\ 18,\ 20\right\}

b)

{3, 6, 9}\left\{3,\ 6,\ 9\right\}

c)

9, 18, 209,\ 18,\ 20

d)

3, 6, 93,\ 6,\ 9

3.

Determine the value of a and b for the following functions.

a)

a=10, b=6a=10,\ b=6

b)

a=6, b=10a=6,\ b=10

c)

a=3, b=5a=3,\ b=5

4.

Determine the value of a and b for the following functions.

a)

a=5, b=216a=5,\ b=216

b)

a=216, b=5a=216,\ b=5

c)

a=125, b=6a=125,\ b=6

5.

Given set S = {10, 12, 18} and set R = {2, 4, 10}, set S is mapped to set R by subtracting 8. Represent the function using ordered pair.

a)

 {(10, 2), (12, 4), (18, 10)}\left\{\left(10,\ 2\right),\ \left(12,\ 4\right),\ \left(18,\ 10\right)\right\}  

b)

 (10, 2), (12, 4), (18, 10)\left(10,\ 2\right),\ \left(12,\ 4\right),\ \left(18,\ 10\right)  

c)

 {(2, 10), (4, 12), (10, 18)}\left\{\left(2,\ 10\right),\ \left(4,\ 12\right),\ \left(10,\ 18\right)\right\}  

d)

 (2, 10), (4, 12), (10, 18)\left(2,\ 10\right),\ \left(4,\ 12\right),\ \left(10,\ 18\right)  

6.

Given set V = {2, 3, 4} and set W = {3, 8, 15}, set V is mapped to set W by square minus one. Represent the function using table.

a)
b)
7.

Given T = {1, 2, 3 ,4} and U = {1, 8, 27, 64}. The relation from set T to set U is to the power of three. Represent the following functions in the form equation.

a)

f(x)=x3f\left(x\right)=x^3

b)

f(x)=3xf\left(x\right)=3x

c)

f(x)=3f\left(x\right)=\sqrt{3}

d)

f(x)=3xf\left(x\right)=\frac{3}{x}