What is the equation of the following graph?theOA. f(x) = 3(2^x)OB. f(x) = 4(1)Oc. f(x) = 2(3*)D. f(x) = 5(2)

To find the answer We can take an x value of zero and then We will see which of the equations is the correct one:
Using the A equation:
[tex]f(0)=3\times2^0=3\times1=3[/tex]Using the B equation:
[tex]f(0)=4\times\frac{1}{2}^0=4\times1=4[/tex]Using the C equation:
[tex]f(0)=2\times3^0=2\times1=2[/tex]Using the D equation:
[tex]f(0)=5\times2^0=5\times1=5[/tex]If we look at the graph, for a value of x equal to zero, the function is 3, i.e. y = 3, and the correct answer is A.