Question

identify the interval(s) on which the function is increasing. a. (-2, ∞) b. (-2,2) c. (-3,3) d. (-3, ∞)

Explanation:

Step1: Recall the definition of an increasing function

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

Looking at the graph, we can see that the function starts to rise (increase) from \(x=-2\) and continues to rise for all \(x\) values greater than \(-2\).

Step3: Determine the interval

The interval where the function is increasing is \((-2,\infty)\)

Answer:

A. \((-2,\infty)\)