Question

(a) Use a graphing utility to graph the function and visually determine the intervals on which the function is increasing, decreasing, or constant, and (b) make a table of values to verify whether the function is increasing, decreasing, or constant on the intervals you identified in part (a). $f(x)=3$

Name: Problem 39, Chapter 1: Precalculus with Limits
Uploaded: 2021-01-26T04:07:24-08:00
Duration: 3 min 14 s
Channel: Chris Trentman
Description: (a) Use a graphing utility to graph the function and visually determine the intervals on which the function is increasing, decreasing, or constant, and (b) make a table of values to verify whether the function is increasing, decreasing, or constant on the intervals you identified in part (a). f(x)=3

   (a) Use a graphing utility to graph the function and visually determine the intervals on which the function is increasing, decreasing, or constant, and (b) make a table of values to verify whether the function is increasing, decreasing, or constant on the intervals you identified in part (a).
$f(x)=3$

Precalculus with Limits

Ron Larson 3rd Edition

Chapter 1, Problem 39

Instant Answer

Solved by Expert Chris Trentman

01/26/2021

Step 1

This is a simple function to graph as it is a horizontal line at $y=3$. Show more…

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(a) Use a graphing utility to graph the function and visually determine the intervals on which the function is increasing, decreasing, or constant, and (b) make a table of values to verify whether the function is increasing, decreasing, or constant on the intervals you identified in part (a). $f(x)=3$

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Key Concepts

Constant Function

A constant function returns the same value for every input, which means its graph is a horizontal line. This type of function does not increase or decrease since the output remains unchanged regardless of changes in the input.

Graphing Utility

A graphing utility is a digital tool used to plot functions and visually analyze their behavior. It helps in identifying intervals where the function is increasing, decreasing, or constant by providing a visual representation of the function's trends.

Table of Values

A table of values lists selected input-output pairs for a function to provide numerical evidence of its behavior. By examining the changes (or lack thereof) in the output as the input changes, one can confirm the increasing, decreasing, or constant nature of the function.

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