consider the function shown in the following graph. the function is defined for all real numbers. note: you…

consider the function shown in the following graph. the function is defined for all real numbers. note: you can get an enlarged view of the graph by clicking on it. use interval notation for both parts below. for what x values is the function increasing? (-∞,0) ∪ (2,∞) for what x values is the function decreasing? (0,2) note: you can earn partial credit on this problem.

consider the function shown in the following graph. the function is defined for all real numbers. note: you can get an enlarged view of the graph by clicking on it. use interval notation for both parts below. for what x values is the function increasing? (-∞,0) ∪ (2,∞) for what x values is the function decreasing? (0,2) note: you can earn partial credit on this problem.

Answer

Explanation:

Step1: Recall function behavior

A function is increasing when the graph goes up - as - we - move from left to right and decreasing when it goes down - as - we - move from left to right.

Step2: Analyze the graph

By observing the given graph of the function defined for all real numbers, we see that the function is decreasing when (x) is in the open interval ((0,2)) because as (x) moves from (0) to (2), the (y) - values of the function are getting smaller.

Answer:

((0,2))