Download - Determine if the following are functions
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