Question

what is the interval of increase? all real numbers (0,2) (-3, ∞) (1, ∞)

Explanation:

Step1: Understand the concept of interval of increase

A function 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, we observe that for \(x > - 3\), as \(x\) increases, the \(y -\) value of the function also increases.
For \(x\leq - 3\), the function is not increasing.
So the interval where the function is increasing is \((-3,\infty)\)

Answer:

C. \((-3, \infty)\)