multiple choice 1 point what is the rate of growth per unit interval in the function? 1/4 4 1/2 2 previous

Explanation:

Step1: Observe the exponential - like graph

For an exponential function (y = a\cdot b^x), the rate of growth per unit interval is the base (b). If we assume two points ((x_1,y_1)) and ((x_2,y_2)) on the function with (x_2=x_1 + 1), then the ratio (\frac{y_2}{y_1}=b). Let's assume the function passes through ((0,1)) and ((1,4)) (by observing the grid - points on the graph).

Step2: Calculate the growth rate

The growth rate (b=\frac{y_2}{y_1}), where (y_1) is the value of the function at (x = 0) and (y_2) is the value of the function at (x = 1). Here, (y_1 = 1) and (y_2 = 4), so (b=\frac{4}{1}=4).

Answer:

4