question\nthe function ( f ) is graphed below. determine the intervals on which ( f ) increasing and…

question\nthe function ( f ) is graphed below. determine the intervals on which ( f ) increasing and decreasing.\nanswer attempt 2 out of 2\nthe function is on the interval ( < x < ) (segment 1), on the interval ( < x < ) (segment 2), and on the interval ( < x < ) (segment 3).

question\nthe function ( f ) is graphed below. determine the intervals on which ( f ) increasing and decreasing.\nanswer attempt 2 out of 2\nthe function is on the interval ( < x < ) (segment 1), on the interval ( < x < ) (segment 2), and on the interval ( < x < ) (segment 3).

Answer

Explanation:

Step1: Analyze segment 1

For a function, if as (x) increases, (y) also increases, the function is increasing. Looking at segment 1 (from (x=-10) to (x = -6)), as (x) moves from left - to - right (increases), (y) moves from bottom - to - top (increases).

Step2: Analyze segment 2

If as (x) increases, (y) decreases, the function is decreasing. For segment 2 (from (x=-6) to (x = 0)), as (x) moves from left - to - right (increases), (y) moves from top - to - bottom (decreases).

Step3: Analyze segment 3

Again, if as (x) increases, (y) increases, the function is increasing. For segment 3 (from (x = 0) to (x=5)), as (x) moves from left - to - right (increases), (y) moves from bottom - to - top (increases).

Answer:

The function is increasing on the interval (-10<x<-6) (segment 1), decreasing on the interval (-6 < x<0) (segment 2), and increasing on the interval (0<x<5) (segment 3).