Question

the following is the graph of a function (y = f(x)). where is the graph increasing?
(4.5 < x < 6.5)(x>4.5)(x < 6.5)(x<4.5cup x>6.5)(-infty<x<infty)

Explanation:

Step1: Recall increasing - function concept

A function \(y = f(x)\) is increasing when as \(x\) increases, \(y\) also increases. On a graph, this means the graph is going up from left - to - right.

Step2: Analyze the given graph

Looking at the graph of \(y = f(x)\), we can see that the graph starts to go up (increase) at \(x = 4.5\) and stops increasing at \(x=6.5\).

Answer:

\(4.5 < x<6.5\)