Question

determine the intervals on which the function is increasing, decreasing, and constant. list the interval(s) on which the function is increasing. (type your answer in interval - notation. use a comma to separate answers as needed.)

Explanation:

Step1: Recall the definition of an increasing function

A function is increasing when, as $x$ increases, $y$ also increases.

Step2: Analyze the graph

Look at the graph and identify the $x -$ intervals where the curve is going up.

Step3: Write the intervals in interval - notation

From the graph, if we assume the key points on the $x -$ axis are $x_1,x_2,\cdots$. The function is increasing on the intervals where the graph has a positive slope.

Answer:

(Assuming the graph starts increasing from $x = a$ to $x = b$) $(a,b)$ (You need to determine the actual values of $a$ and $b$ from the graph. For example, if it starts increasing from $x=-2$ and stops at $x = 1$, the answer is $(-2,1)$)