Question

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

Answer 1

Answer:

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.

Step-by-step 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.

Answer 2

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