Respuesta :

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]