Question

Use the limit process to find the slope of the graph of the function at the specified point. Use a graphing utility to confirm the result.

g(x) = x² - 4x, (3,-3)

Answer 1

The slope of the graph of the function g(x) = x² - 4x at the specified point (3, -3) is 2

How to determine the slope of the graph of the function at the specified point

From the question, we have the following parameters that can be used in our computation:

g(x) = x² - 4x, (3,-3)

The slope of the function is its derivative

So, we have

g'(x) = 2x - 4

At the point (3, -3)

We have

x = 3

This means that

Slope, g'(3) = 2 x 3 - 4

Evaluate

Slope, g'(3) = 2

Hence, the slope is 2