1.4 assignment part 1\n90% credit until: september 19 at 8:00 am\ncomplete: 40%\ngrade: 36%\ndetermine all…
1.4 assignment part 1\n90% credit until: september 19 at 8:00 am\ncomplete: 40%\ngrade: 36%\ndetermine all intervals on which the graph of f is decreasing.\ngraph of f\nincreasing vs. decreasing & pos vs. neg (level 2)\nidentify relative extrema\ngraphically
Answer
Explanation:
Step1: Recall decreasing - function definition
A function (y = f(x)) is decreasing on an interval if for any two points (x_1) and (x_2) in the interval with (x_1<x_2), we have (f(x_1)>f(x_2)). On a graph, the function is decreasing when the graph moves down - ward as we move from left to right.
Step2: Analyze the given graph
Looking at the graph of (y = f(x)), we observe the intervals where the graph is going down as (x) increases. We see that the function (y = f(x)) is decreasing on the intervals ((-1,2)) and ((5,\infty)).
Answer:
((-1,2)) and ((5,\infty))