Everything Maths Grade 10

Exercise 6 – 4:

1.The following graph shows a hyperbolic equation of the formy=

a

x

+q.Point Ais shown at

(

2;

5

2

)

.

Calculate the values ofaandq.

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

 4

 3

 2

 1

1

2

3

4

5

6

A

x

y

2.The following graph shows a hyperbolic equation of the formy=

a

x

+q.Point Ais shown at(1; 5).

Calculate the values ofaandq.

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

 4

 3

 2

 1

1

2

3

4

5

6

7

8

A

x

y

3.Given the following equation:

y=

3

x

+ 2

a)Determine the location of they-intercept.

b)Determine the location of thex-intercept. Give your answer as a fraction.

Chapter 6. Functions 175