Question

you can click on the magnifying glass on the bottom right corner of the graph to enlarge it. f has local maximum value(s) 3.29 at x = -2.3. f has local minimum value(s) 0 at x = 0. increasing on: ( - ∞,-2),(0,3) x invalid interval notation. give your answer in interval notation. be sure to use open intervals. use a comma between multiple intervals.

Explanation:

Step1: Recall increasing - interval concept

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 graph

Looking at the graph, the function is increasing when moving from left - to - right and the \(y\) - values are getting larger. The function is increasing on the intervals \((-\infty,- 2)\) and \((0,3)\).

Answer:

\((-\infty,-2),(0,3)\)