Question

details
no additional details were added for this assignment.
question
on what intervals, if any, is the graph of f increasing?
express your answer in interval notation.

Explanation:

Step1: Recall increasing - graph property

A function \(y = f(x)\) is increasing on an interval if for any two points \(x_1\) and \(x_2\) in the interval with \(x_1

Step2: Analyze the given graph

By observing the graph, we look for the intervals where the curve is going up as we move from left - to - right.

Step3: Determine the intervals

We can see that the graph is increasing on the intervals where the slope of the tangent line to the curve is positive. From the graph, the function \(f(x)\) is increasing on the intervals \((- 5,0)\) and \((10,20)\).

Answer:

\((-5,0)\cup(10,20)\)