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