the graph of a function is shown below. on which interval is the function decreasing and linear? answer -9 <…

the graph of a function is shown below. on which interval is the function decreasing and linear? answer -9 < x < -6 -6 < x < -1 -1 < x < 4 4 < x < 9

the graph of a function is shown below. on which interval is the function decreasing and linear? answer -9 < x < -6 -6 < x < -1 -1 < x < 4 4 < x < 9

Answer

Explanation:

Step1: Recall linear - decreasing function

A linear function has a constant slope. A decreasing function has a negative - slope.

Step2: Analyze each interval

For the interval (-9 < x < -6), the function is increasing. For the interval (-6 < x < -1), the function is decreasing but non - linear (it is curved). For the interval (-1 < x < 4), the function is increasing. For the interval (4 < x < 9), the function is decreasing and has a straight - line segment, so it is linear and decreasing.

Answer:

(4 < x < 9)