over which interval does the growth rate of the exponential function continue to exceed the growth rate of…

over which interval does the growth rate of the exponential function continue to exceed the growth rate of the linear function?\no x = 0 to x = 3\no x = 0 to x = 1.79\no x = 0.38 to x = 1.79\no x = 1.79 to x = 3

over which interval does the growth rate of the exponential function continue to exceed the growth rate of the linear function?\no x = 0 to x = 3\no x = 0 to x = 1.79\no x = 0.38 to x = 1.79\no x = 1.79 to x = 3

Answer

Answer:

B. $x = 0$ to $x = 1.79$

Explanation:

Step1: Understand growth - rate concept

The growth - rate of a function is related to its slope. For the exponential and linear functions, we need to see where the exponential function has a steeper slope.

Step2: Analyze the graph

From the graph, we can observe that before the intersection point $(1.79,7.17)$ the exponential function has a steeper slope (grows faster) than the linear function. After the intersection point, the linear function may grow faster or have a steeper slope. The starting point is $x = 0$ as we are looking at the interval from the start of the domain shown. So the interval where the growth rate of the exponential function exceeds that of the linear function is from $x = 0$ to $x = 1.79$.