Question

over which interval does the growth rate of the exponential function continue to exceed the growth rate of the linear function?
o (x = 0) to (x = 3)
o (x = 0) to (x = 1.79)
o (x = 0.38) to (x = 1.79)
o (x = 1.79) to (x = 3)

Explanation:

Step1: Understand growth - rate concept

The growth - rate of a function is related to its slope. For an exponential function and a linear function, we can compare their slopes on the graph.

Step2: Analyze the intersection points

The two functions intersect at \(x = 0.38\) and \(x=1.79\). Between these two intersection points, the exponential function has a steeper slope than the linear function.

Answer:

C. \(x = 0.38\) to \(x = 1.79\)