Everything Maths Grade 10

c)

x 2 8 10 12

y 1 2 3 6

4.Plot the following points on a graph.

a)

x 1 2 3 4 5 6

y 0,1 0,2 0,3 0,4 0,5 0,6

b)

x 1 2 3 4 5 6

y 5 9 13 17 21 25

5.Create a table of values from the function given and then plot the function. Your table must have at least
5 ordered pairs.
a) y=^12 x+ 2 b)y=x 3

6.If the functionsf(x) =x^2 + 1 ;g(x) =x4 ;h(x) = 7x^2 ;k(x) = 3are given, find the value of the
following:
a) f(1) b) g(7) c) h(3) d)k(100)
e) f(2) +h(2) f) k(5) +h(3) g)f(g(1)) h) k(f(6))
7.The cost of petrol and diesel per litre are given by the functionsPandD, where:

P=13,61V D=12,46V

Use this information to answer the following:

a)EvaluateP(8)

b)EvaluateD(16)

c)How many litres of petrol can you buy with R 300?

d)How many litres of petrol can you buy with R 275?

e)How much more expensive is petrol than diesel? Show you answer as a function.

8.A ball is rolling down a 10 m slope. The graph below shows the relationship between the distance and
the time.

2 4 6 8 10 12 14 16 18 20 22

2

4

6

8

10

12

t

s(t)

Use this information to answer the following:

a)After 6 s how much further does the ball have to roll?

b)What is the range of the function?

c)What is the domain of the function, and what does it represent?

Chapter 6. Functions 149