1
Determine if the following are functions
no
yes
2 State domain and range of the
function below:
D: (-, )
R: [-1, )
(1, -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)}
Yes, it’s a function
D: {-3, 1, 2, 3}
R: {-6, 3, 4, 6}
6
Given that f : x
x  2x
2
Find:
a) f(-3) = 3
b) f(x + 2) = x2 + 6x + 8
7
Given that f(x) = 2x -10
a) evaluate: f(3) = -4
b) solve f(x) = 32
x = 21
8
Express f ( x )  x  3 as a mapping for
the domain {-1, 0, 1, 2, 3}.
2
x
y
-1
0
1
2
3
-3
-2
1
6
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
-1
0
1
2
3
-5
-3
3
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 € 28.50
(ii) 300km.
€ 61
(b) Find the equation connection the variables.
C = 22 + 0.13d
(c) Using your equation find how many kilometers you
traveled if your bill was €47.
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.
2J + 3C = 5.95
(b) If one Jumbo Burger costs £2.15, what is the
cost, in pence, of one regular coke?
55 pence
13 Are the following graphs functions?
yes
no
14 State the Domain and Range
{(-5,0) , (3,0) , (14, 1) , (2006, 1)}
D: {-5, 3, 14, 2006}
R: {0, 1}
15
Are the following functions?
T={(-1,1), (2,1), (4,-1), (5,2) yes
A={(a,c), (b,d), (e,f), (a,h)} no
16 Express the data below as a graph and a
mapping
x
1
-2
-1
-2
3
y
1
4
-1
-4
-2
x
y
-2
-1
1
3
-4
-2
-1
1
4