Which exponential function has an initial value of 3

Hey there!

The correct answer would be the third choice with the graph of the growth exponential function.

The reason for this is because the initial value of an exponential function is the y value where the function passes through the y-axis or when the x value is equal to 0.

The answer cannot be choice A since when you look at the value where x=0, the y=-3 which cannot be the answer since the question asks for an initial value of 3.

The answer cannot be f(x)=1/3(9)^x because if you were to plug in 0 for x and simplify, you would simply get y=1/3 which is not the initial value of 3.

The choice f(x)=(3)^x would also not be the correct answer since if x were to be substituted for 0, y would equal 1 which is also not an initial value of 3.

Therefore, your final answer should be the graph, or the third choice.

Hope this helps and have a nice day! :)