Question

What is the graph of the function y=2•2^x

Answer 1

You put one at (-2, 7) and (5, -4)

Answer 2

The pair of coordinates are (0,2), (1,4), (2,8) , (3,16). Plot these points on a coordinate plan and join them by a smooth curve. The graph of given function is shown below.

Explanation:

The given function is

`y=2(2)^x` .... (1)

The general form of an exponential function is

`f(x)=ab^x` ....(2)

Where, a is the initial value and b is the growth rate.

On comparing (1) and (2), we get

`a=2`

`b=2`

The initial value of the function is 2 and the growth rate is 2.

First of all find the pairs of coordinates for the function and then join them by a smooth curve.

At x=0

`y=2(2)^0\Rightarrow y=2`

At x=1

`y=2(2)^1\Rightarrow y=4`

At x=2

`y=2(2)^2\Rightarrow y=8`

At x=3

`y=2(2)^3\Rightarrow y=16`

The pair of coordinates are (0,2), (1,4), (2,8) , (3,16). Plot these points on a coordinate plan and join them by a smooth curve.