Question

1.4 assignment part 1
90% credit until: september 19 at 8:00 am
complete: 40%
grade: 36%
determine all intervals on which the graph of f is decreasing.
graph of f
increasing vs. decreasing & pos vs. neg (level 2)
identify relative extrema
graphically

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

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 \((5,\infty)\)