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
[tex]y=2(2)^x[/tex] .... (1)
The general form of an exponential function is
[tex]f(x)=ab^x[/tex] ....(2)
Where, a is the initial value and b is the growth rate.
On comparing (1) and (2), we get
[tex]a=2[/tex]
[tex]b=2[/tex]
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
[tex]y=2(2)^0\Rightarrow y=2[/tex]
At x=1
[tex]y=2(2)^1\Rightarrow y=4[/tex]
At x=2
[tex]y=2(2)^2\Rightarrow y=8[/tex]
At x=3
[tex]y=2(2)^3\Rightarrow y=16[/tex]
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.
