determine the domain on which the following function is increasing.

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Accepted Answer

# Explanation:
## Step1: Recall the concept of 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 $x_1<x_2$, we have $f(x_1)<f(x_2)$. For a parabola $y = ax^{2}+bx + c$ (in this case, from the graph, $a<0$ since it opens down - ward), the vertex form is $y=a(x - h)^{2}+k$. The function is increasing to the left of the vertex.
## Step2: Locate the vertex of the parabola
From the graph, the vertex of the parabola has an $x$ - coordinate of $x = 3$.

# Answer:
The function is increasing on the interval $(-\infty,3)$

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QUESTION IMAGE

Question

Explanation:

Step1: Recall the concept of increasing function

Step2: Locate the vertex of the parabola

Answer: