Everything Maths Grade 10

3.Below you see a graph of an exponential function with the equationy=a : 2 x+q. One point is given
on the curve:Point Ais at(3;4,875). Calculate the values ofaandq, correct to the nearest integer.

 5  4  3  2  1 1 2 3 4

 4

 3

 2

 1

1

2

3

4

5

6

A

x

y

4.Given the following equation:

y=

1

4

:(4)x 1

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

b)Now calculate thex-intercept.

5.Given the following graph, identify a function that matches each of the following equations:

 5  4  3  2  1 1 2 3 4 5

 5

 4

 3

 2

 1

1

2

3

4

5

g(x)

f(x)

k(x)

h(x)

x

y

a) y= 2x b)y= 2 x c) y= 2: 2 x d)y=

( 1

2

)x

186 6.5. Exponential functions