Question

For the curve, estimate the instantaneous rate of change at x=5 without the use of derivatives

Answer 1

Answer: -0.733

Explanation:

To estimate the instantaneous rate of change, we can take the slope of the secant through two points on the curve that are close to x=5.

In this case, we will consider
`(4.9, f(4.9))` and
`(5.1, f(5.1))`.

`(f(5.1)-f(4.9))/(5.1-4.9) \approx -0.733`