Question

use the graph to determine open interval on which the function is increasing, if any
select the correct choice below and, if necessary, fill in the answer box to complete your choice
a. the function is increasing on the interval(s)
(type your answer in interval notation. use a comma to separate answers as needed )
b. there is no interval on which the function is increasing

Explanation:

Step1: Identify function's vertex

The parabola has vertex at $(0,-1)$.

Step2: Determine increasing interval

For a parabola opening upward, the function increases to the right of the vertex. So the function rises as $x$ increases from $0$ to $\infty$.

Answer:

A. The function is increasing on the interval(s) $(0, \infty)$