using the graph of the function y = f(x), answer the following questions. a) on what interval(s) is f…

using the graph of the function y = f(x), answer the following questions. a) on what interval(s) is f increasing? enter your answer in interval notation. b) on what interval(s) is f decreasing? enter your answer in interval notation.

using the graph of the function y = f(x), answer the following questions. a) on what interval(s) is f increasing? enter your answer in interval notation. b) on what interval(s) is f decreasing? enter your answer in interval notation.

Answer

Explanation:

Step1: Recall increasing - decreasing function rules

A function (y = f(x)) is increasing when the graph rises from left - to - right and decreasing when it falls from left - to - right.

Step2: Analyze the graph for increasing intervals

Looking at the graph, we see that the function (y = f(x)) is rising from (x = 0) to (x=4). So the increasing interval is ([0,4]).

Step3: Analyze the graph for decreasing intervals

The function (y = f(x)) is falling from (x=- 4) to (x = 0). So the decreasing interval is ([-4,0]).

Answer:

a) ([0,4]) b) ([-4,0])