use the graph to answer the following questions.\n(a) over which intervals is the function increasing…

use the graph to answer the following questions.\n(a) over which intervals is the function increasing? choose all that apply.\n(-\\infty, - 5) (-5, -2) (-2, 2) (5, 8) (2, 8) (8, \\infty)\n(b) at which x - values does the function have local minima? if there is more than one value, separate them with commas.\n\n(c) what is the sign of the functions leading coefficient?

use the graph to answer the following questions.\n(a) over which intervals is the function increasing? choose all that apply.\n(-\\infty, - 5) (-5, -2) (-2, 2) (5, 8) (2, 8) (8, \\infty)\n(b) at which x - values does the function have local minima? if there is more than one value, separate them with commas.\n\n(c) what is the sign of the functions leading coefficient?

Answer

Answer:

(a) (-5, -2), (2, 8) (b) - 5, 2 (c) Positive

Explanation:

Step1: Determine increasing intervals

A function is increasing when the graph goes up from left - to - right. From the graph, we can see the function is increasing on (-5, -2) and (2, 8).

Step2: Identify local minima

Local minima occur at points where the function changes from decreasing to increasing. The x - values of local minima are x=-5 and x = 2.

Step3: Find sign of leading coefficient

Since the function has an even degree (ends in the same direction, both going up) and the right - hand end goes up, the leading coefficient is positive.