Constant Intervals On A Graph

Use the graph to decide open intervals on which the function is increasing, decreasing, or constant.

use the graph to show where the function is increasing

A function is divers as the change in the output value with respect to the input where the output variable is dependent upon the input variable.

Answer: Using the graph, the open interval on which the role is increasing is (-∞, -2) U (2, ∞) and decreasing in (-two, 2) interval. Also, in that location is no interval where the part is constant.

Let's analyze the graph

Explanation:

Let's look into the graph given to sympathize the open up intervals on which the function is increasing, decreasing, or abiding.

graph to explain where the function is increasing

From the above graph, we see that the function starting from negative infinity increases till point A(-2, sixteen), that is, the value of y-coordinate increases with an increase in ten-coordinate value. The interval is represented every bit (-∞, -2)

From point A(-two,16), the office starts decreasing and continues moving towards point B(two,-16), that is, the value of y-coordinate decreases with an increment in x-coordinate value. The interval is represented as (-2, ii).

Farther, from bespeak B(2,-16) we see that the role starts increasing again moving towards infinity, that is, the value of y-coordinate increases with an increment in x-coordinate value. The interval is represented equally (2, ∞).

Also, in that location is no interval where the function is abiding.

Thus, the interval of function increasing is (-∞,-ii) U (ii,∞) and the interval of office decreasing is (-2,2).