Page 112 question 7 part c which equation matches the following graphA f(x)=2^xBf(x)=-2^xCf(x)=3x2^xDf(x)=-3x2^x

Given:
We get the point (0,3) which is lie on the graph from the graph.
Aim:
We need to find the equation of the given graph.
Explanation:
The graph of the equation is growing upward.
The given graph is an exponential growth function.
Consider the eqaution of the exponential growth function.
[tex]f(x)=a\times2^x[/tex]Substitute x=0 and f(3)=3 in the equation.
[tex]3=a\times2^0[/tex][tex]a=3[/tex]Substitute a=3 in the equation.
[tex]f(x)=3\times2^x[/tex]Final answer:
[tex]f(x)=3\times2^x[/tex]