Answer:

Step-by-step explanation:
Given

Required
The difference quotient for h
The difference quotient is calculated as:

Calculate f(x + h)



The numerator of
is:


Collect like terms


So, we have:

Rewrite as:


Positive and negative doesn’t matter. Steepest slope is the smallest or largest number.
In this case D. -4
Using the given exponential functions, it is found that the graph of g(x) will be less than than the graph of f(x) when x < 0.
<h3>What are the exponential functions?</h3>
The given exponential functions, f(x) and g(x), are respectively given by:
When x < 0, one possible value is x = -1, hence evaluating the functions at these values:


, hence, the graph of g(x) will be less than than the graph of f(x) when x < 0.
More can be learned about exponential functions at brainly.com/question/25537936