Final answer:
The function that represents a vertical stretch of an exponential function is f(x) = (3)^x.
Step-by-step explanation:
The function that represents a vertical stretch of an exponential function is f(x) = (3)x.
In this function, the base of the exponential term is 3, and the exponent, x, determines the position on the graph. When the value of x increases, the function values also increase at an exponential rate.
For example, when x = 1, f(1) = (3)1 = 3. When x = 2, f(2) = (3)2 = 9. The function values double with each increase of x.