Cambridge Additional Mathematics

194 Straight line graphs (Chapter 7)

Example 16 Self Tutor

Consider this table of data connectingxandy: x^1234

y 3 : 5 10 22 : 5 44

a Copy and complete the following table: x 2

y

x

b Plot

y

x

againstx^2 , and draw a straight line through the points.

c Findyin terms ofx.

a x^214916

y

x

3 : 5 5 7 : 5 11

b

c The graph of

y

x

againstx^2 is linear.

Using the points (4,5) and (16,11),

the gradient is^11 ¡^5

16 ¡ 4

=^12

) the equation is

y

x

¡5=

1

2

(x^2 ¡4)

)

y

x

=

1

2

x^2 +3

) y=^12 x^3 +3x

EXERCISE 7E

1 Consider this table of data connectingxandy:

x 1 2 3 4

y 2 11 26 47

a Copy and complete the following table:

x^2

y

b Plotyagainstx^2 , and draw a straight line through the points.

c Findyin terms ofx.

xx 2 > 0 for all.

xx

x

2 for all.

is undefined when.

the point on the vertical

axis is not included.

>

)

0

Bv = 0

Bv

x 2

O 246810 12 14

2

4

6

8

10

12

16 18

(16 11),

(9 7 5),.

(4 5),

(1 3 5),.

cyan magenta yellow black

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100 100 4037 Cambridge
Additional Mathematics
Y:\HAESE\CAM4037\CamAdd_07\194CamAdd_07.cdr Tuesday, 21 January 2014 12:15:20 PM BRIAN