1 Determine if the following are functions

no yes

2 State domain and range of the function below:

(1, -1)

D: (-, )

R: [-1, )

3 Write the relation shown in the mapping as a set of ordered pairs.

{(0, 6), (1, 1), (-4, 0), (4, 1)}

4 State domain and range of the function below:

D: [0, 3]

R: [-6, 5]

5 Determine whether this relation is a function.Then state the domain and range.

{(1, 4), (2, 3), (3, -6), (-3, 6)}

D: {-3, 1, 2, 3}

R: {-6, 3, 4, 6}

Yes, it’s a function

6 Given that 2: 2f x x x

Find:

a) f(-3)

b) f(x + 2)

= 3

= x2 + 6x + 8

7 Given that f(x) = 2x -10

a) evaluate: f(3)

b) solve f(x) = 32

= -4

x = 21

8 Express as a mapping for the domain {-1, 0, 1, 2, 3}.

2( ) 3f x x

x y

-10123

-3-216

9 Represent the function y = 2x2 – 5, where x is an element of {–2, –1, 0, 1, 2, 3} by a mapping diagram.

x y-2-10123

-5-33

13

10 Write the relation shown in the mapping as a set of ordered pairs.

{(4, 3, )(4, 8), (1, 7), (-8, 1), (2, 1), (2, 3)}

11 For a small car hire company charges €22 per day plus 13 cents for each kilometer , d, driven.

(a) Find the total cost, C, of hiring a car for a day if you travel (i) 50km (ii) 300km.

(b) Find the equation connection the variables.

(c) Using your equation find how many kilometers you traveled if your bill was €47.

€ 28.50

€ 61

C = 22 + 0.13d

192.31 km

12 At Jumbo’s Burger Bar, Jumbo burgers cost £J each and regular cokes cost £C each. Two Jumbo burgers and three regular cokes cost £5.95.(a) Write an equation to show this.

(b) If one Jumbo Burger costs £2.15, what is the cost, in pence, of one regular coke?

2J + 3C = 5.95

55 pence

13 Are the following graphs functions?

yes no

14

{(-5,0) , (3,0) , (14, 1) , (2006, 1)}

State the Domain and Range

D: {-5, 3, 14, 2006}

R: {0, 1}

15 Are the following functions?

T={(-1,1), (2,1), (4,-1), (5,2)

A={(a,c), (b,d), (e,f), (a,h)}

yes

no

16 Express the data below as a graph and a mapping

x y1 1-2 4-1 -1-2 -43 -2

x y

-2-113

-4-2-114