Question

question 10
for this written question, put your answers in the answer boxes just like a regular homework question.
consider the function in the graph to the right.
the function has a relative maximum of
at x =
the function has a relative 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:

Explanation:

Step1: Identify relative maximum

The relative maximum is the highest - point in a local region of the graph. By observing the graph, the function has a relative maximum of 3 at x = 0.

Step2: Identify relative minimum

The relative minimum is the lowest - point in a local region of the graph. The function has a relative minimum of - 4 at x = 3.

Step3: Determine increasing intervals

A function is increasing when the graph goes up from left to right. The function is increasing on the intervals (-5,0) and (3,10).

Step4: Determine decreasing intervals

A function is decreasing when the graph goes down from left to right. The function is decreasing on the intervals (0,3).

Step5: Find the domain

The domain is the set of all x - values for which the function is defined. From the graph, the domain is [-10,10].

Step6: Find the range

The range is the set of all y - values for which the function is defined. From the graph, the range is [-4,3].

Answer:

The function has a relative maximum of 3 at x = 0.
The function has a relative minimum of - 4 at x = 3.
The function is increasing on the intervals (-5,0) and (3,10).
The function is decreasing on the interval (0,3).
The domain of the function is [-10,10].
The range of the function is [-4,3].