Question

A linear function and an exponential function are shown below. Over which interval does the growth rate of the exponential function exceed the growth rate of the linear function?

Answer 1

Based on the image you sent, the growth rate of the exponential function exceeds the growth rate of the linear function over the interval x > 2. So. the correct option is D.

This is because the slope of the exponential function is clearly greater than the slope of the linear function from 2 on the x-axis forward.

This means that the exponential function is growing faster than the linear function over this interval.

Below is the table comparing the values of the two functions at different x-values. As you can see, the exponential function grows much faster than the linear function as x increases.

This is why the graph of the exponential function curves up and away from the graph of the linear function.

The probable question may be: "Over which interval does the growth rate of the exponential function exceed the growth rate of the linear function?

a. x<1

b.
`0\leq x\leq 1`

c.
`1\leq x\leq 2`

d. x>2"