Everything Maths Grade 10

Step 3: Determine the asymptote

The horizontal asymptote is the liney= 6.

Step 4: Plot the points and sketch the graph

 4  3  2  1 1 2 3 4

 2

 1

1

2

3

4

5

6

0

y= 2  3 x+ 6

y= 6

(0; 4)

(1; 0)

x

y

Domain:fx:x 2 RgRange:fg(x) :g(x)< 6 g

Exercise 6 – 5:

1.Given the following equation:

y=^23 :( 3 )x+ 1

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.

2.The graph here shows an exponential function with the equationy=a : 2 x+q. One point is given on

the curve:Point Ais at(3;3,875). Determine the values ofaandq, correct to the nearest integer.

 4  3  2  1 1 2 3 4

 5

 4

 3

 2

 1

1

2

3

4

5

A

x

y

Chapter 6. Functions 185