Question

In Exercises $39-50,$ graph the given functions, $f$ and $g,$ in the same rectangular coordinate system. Select integers for $x$ , starting with $-2$ and ending with $2 .$ Once you have obtained your graphs, describe how the graph of g is related to the graph of $f.$ $$f(x)=3, g(x)=5$$

Name: Problem 49, Chapter 1: Precalculus
Uploaded: 2020-04-09T22:10:34-08:00
Duration: 1 min 49 s
Channel: Yousef Sheikh
Description: In Exercises 39-50, graph the given functions, f and g, in the same rectangular coordinate system. Select integers for x , starting with -2 and ending with 2 . Once you have obtained your graphs, describe how the graph of g is related to the graph of f. f(x)=3, g(x)=5

   In Exercises $39-50,$ graph the given functions, $f$ and $g,$ in the same rectangular coordinate system. Select integers for $x$ , starting with $-2$ and ending with $2 .$ Once you have obtained your graphs, describe how the graph of g is related to the graph of $f.$
$$f(x)=3, g(x)=5$$

Precalculus

Robert Blitzer 5th Edition

Chapter 1, Problem 49

Instant Answer

Solved by Expert Yousef Sheikh

04/09/2020

Step 1

Since there are no $x$ values in these functions, this means that for any $x$ value, $f(x)$ will always be $3$ and $g(x)$ will always be $5$. Show more…

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In Exercises $39-50,$ graph the given functions, $f$ and $g,$ in the same rectangular coordinate system. Select integers for $x$ , starting with $-2$ and ending with $2 .$ Once you have obtained your graphs, describe how the graph of g is related to the graph of $f.$ $$f(x)=3, g(x)=5$$

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Key Concepts

Constant Function

A constant function is one that produces the same output regardless of the input value. Its graph is a horizontal line across the coordinate system since the y-value remains fixed for all x-values.

Graphing Functions in a Rectangular Coordinate System

Graphing functions involves plotting points on a coordinate plane where the horizontal axis represents input values (x-values) and the vertical axis represents output values (y-values). This method is used to visually represent functions, making it easier to analyze their behavior.

Vertical Translation and Parallel Lines

When comparing two constant functions, the difference in their constant values represents a vertical shift. This shift results in two horizontal lines that are parallel to each other, with the distance between them corresponding to the difference in the constant values.

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