Question

1. consider the graph of the quartic function, ( f(x) ), graphed below. 19a what are the regions of the domain where ( f(x) ) is increasing? write all of the regions in interval notation separated by commas. = enter your next step here

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 graph

Looking at the graph of the quartic function \(y = f(x)\):

• We observe that the function has a local minimum.
• To the right of the local minimum (where the slope of the tangent line to the graph is positive), the function is increasing.

Let's assume the \(x\) - coordinate of the local minimum is \(x = 3\) (by visual inspection of the graph).

Answer:

\((3,\infty)\)