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.
