Question

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 2: College Algebra Essentials
Uploaded: 2021-09-05T22:32:56-08:00
Duration: 57 s
Channel: Erika Bustos
Description: 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

   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 $f$.
$$
f(x)=3, g(x)=5
$$

College Algebra Essentials

Robert Blitzer 4th Edition

Chapter 2, Problem 49

Instant Answer

Solved by Expert Erika Bustos

09/05/2021

Step 1

$ To do this, we need to find the points on the graph where $f(x)$ is equal to $3.$ Since $f(x)$ is always equal to $3,$ the graph of $f$ is a horizontal line passing through the point $(x,3)$ for all values of $x.$ So, the graph of $f(x)=3$ is a horizontal line Show more…

Show all steps

Thanks for your feedback!

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 $f$. $$ f(x)=3, g(x)=5 $$

Play audio

Feedback

Erika Bustos and 98 other subject Algebra educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Constant Functions

Constant functions are functions that return the same value for every input in their domain. Their graphs are horizontal lines in a rectangular coordinate system, which indicates that the output does not vary with the input.

Graphing Functions on a Rectangular Coordinate System

Graphing functions on a rectangular coordinate system involves plotting the set of ordered pairs (x, f(x)) on a grid defined by perpendicular axes. This process helps visualize the behavior of functions, such as constancy, linearity, or non-linearity.

Vertical Translation

Vertical translation is a type of function transformation where a function is shifted up or down on the graph. This is accomplished by adding or subtracting a constant value to the output of the function. In the context of constant functions, a vertical translation moves the horizontal line from one y-value to another without altering its horizontal orientation.

Please give Ace some feedback