Q 94. - Precalculus Enhanced with Graphing Utilities

Question

Using a graphing utility, graph y = 5 on the interval (-3, 3). Use MAXIMUM to find the local maximum values on (-3, 3).

Step-by-Step Solution

Answer

The required graph is shown:

The maximum value is $5$ since there is no local maximum value.

Step 1. Given information

The graph y = 5 on the interval $(-3, 3)$.

Step 2. Draw the graph of graph y = 5 on the interval ( - 3 ,   3 ) .

The required is shown below:

Step 3. Apply MAXIMUM to determine the local maximum values on ( - 3 ,   3 ) .

The local maximum value is a point $(x,y)$ on a function's graph whose $y$ coordinate is larger than all other $y$ coordinates on the graph at points $(x,y)$.

From the graph, observe that there is no maximum value according to MAXIMUM .

Hence, there is only maximum value and the maximum value is $5$.