consider the function graphed on the coordinate plane. which sentence best describes this function on the…

consider the function graphed on the coordinate plane. which sentence best describes this function on the interval -5 ≤ x ≤ 5? the function is constant from -5 to 0, then varies from 0 to 5. the function is increasing from -5 to 2, then decreasing from 2 to 5. the function is increasing from -5 to -3, constant from -3 to 0, increasing from 0 to 2, then decreasing from 2 to 5. the function is constant and increasing from -5 to -3, zero from -3 to 0, increasing from 0 to 2, and varied from 2 to 5.

consider the function graphed on the coordinate plane. which sentence best describes this function on the interval -5 ≤ x ≤ 5? the function is constant from -5 to 0, then varies from 0 to 5. the function is increasing from -5 to 2, then decreasing from 2 to 5. the function is increasing from -5 to -3, constant from -3 to 0, increasing from 0 to 2, then decreasing from 2 to 5. the function is constant and increasing from -5 to -3, zero from -3 to 0, increasing from 0 to 2, and varied from 2 to 5.

Answer

Explanation:

Step1: Analyze increasing - part

In the graph, as (x) moves from (- 5) to (-3), the (y) - value of the function is going up, so the function is increasing on the interval ([-5,-3]).

Step2: Analyze constant - part

From (x=-3) to (x = 0), the (y) - value of the function remains the same (horizontal line), so the function is constant on the interval ([-3,0]).

Step3: Analyze increasing - part again

From (x = 0) to (x=2), the (y) - value of the function is going up, so the function is increasing on the interval ([0,2]).

Step4: Analyze decreasing - part

From (x = 2) to (x = 5), the (y) - value of the function is going down, so the function is decreasing on the interval ([2,5]).

Answer:

The function is increasing from (-5) to (-3), constant from (-3) to (0), increasing from (0) to (2), then decreasing from (2) to (5).