Everything Maths Grade 10

21.Sketch the following functions and identify the asymptotes:

a)y=

3

x

+ 4

b)y=

1

x

c)y=

2

x

2

22.Sketch the functions given and describe the transformation used to obtain the second function. Show all
asymptotes.

a)y=

2

x

and

2

x

+ 2

b)y=

2

x

and

1

2 x

c)y=

3

x

andy=

3 x+ 3

x

d)y=

3

x

andy=

3

x

23.Given the following equation:

y=^12 :(4)x+ 3

a)Calculate they-intercept. Your answer must be correct to 2 decimal places.

b)Now calculate thex-intercept. Estimate your answer to one decimal place if necessary.

24.Sketch the following functions and identify the asymptotes:

a)y= 3x+ 2

b)y= 4  2 x

c)y=

( 1

3

)x

 2

25.The form of the curve graphed below isy=a : 2 x+q. One point is given on the curve:Point Ais at
( 3 ;3,625). Find the values ofaandq, correct to the nearest integer.

 8  7  6  5  4  3  2  1 1 2 3 4 5 6 7 8

 5

 4

 3

 2

 1

1

2

3

4

5

6

7

8

A

x

y

220 6.8. Chapter summary