Questions: Consider the function in the graph to the right. The function has a maximum of at x= The function has a minimum of at x= The function is increasing on the interval(s): The function is decreasing on the interval(s): The domain of the function is: The range of the function is:

Consider the function in the graph to the right.
The function has a maximum of
at x=

The function has a minimum of
at x=

The function is increasing on the interval(s):

The function is decreasing on the interval(s):

The domain of the function is:

The range of the function is:

Transcript text: Consider the function in the graph to the right. The function has a maximum of $\square$ at $x=$ $\square$ The function has a minimum of $\square$ at $x=$ $\square$ The function is increasing on the interval(s): $\square$ The function is decreasing on the interval(s): $\square$ The domain of the function is: $\square$ The range of the function is: $\square$

Solution

Solution Steps

Step 1: Find the maximum

The maximum value of the function is the highest y-value reached by the graph. The graph increases without bound toward positive infinity to the left of x = -7. It does not have a maximum value.

Step 2: Find the minimum

The minimum value of the function is the lowest y-value reached by the graph. This occurs at x = -6, where the y-value is -5.

Step 3: Find the interval of increase

The function is increasing where the y-values are getting larger as x increases. This occurs between x = -6 and x = -2. So the interval of increase is (-6, -2).