Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 8: Q16. (page 410)

Graph the equation. Tell whether the equation is a function.

y=-x

Short Answer

Expert verified

The equation y=-x is a function.

Step by step solution

01

Step 1. Given information.

The given equation is y=-x.

02

Step 2. Calculation.

We can see that our given equation is in slope-intercept form y=mx+b, where m represents slope of line and b represents the ­y-intercept.

Upon looking at our given equation, we can see that the slope of our given line is -1 and the ­y-intercept is at point0,0.

Upon graphing y=-x, we will get our required graph as shown below:

We can see that no vertical line will intersect the graph of equation y=-x more than one place that is each x value corresponds to a specific y-value.

Therefore, the equation y=-x is a function.

03

Step 3. Conclusion.

The given equation is a function.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Graph the equation.

y=2x

Represent the relation as a graph and as a mapping diagram. Then tell whether the relation is a function. Explain your reasoning.

0,4,2,0,6,-4,-4,2,8,0

The brown-headed cowbird does not raise its own offspring. It lays eggs in the nests of other bird species, which then hatch the eggs and raise the young. A scientist investigated whether the growth of a young cowbird is affected by the species of bird that raises it. The scientist’s results for two bird species are shown below.

  1. For each table, draw a graph for the relation given by the ordered pairs age,mass. Draw both graphs in the same coordinate plane, and use a different color for each graph.
  2. Compare the graphs from part (a). How is a cowbird’s growth when raised by a red-eyed vireo like its growth when raised by a blue-gray gnatcatcher? How is its growth different?

Graph the equation. Tell whether the equation is a function.

y=32x+1

Graph the equation.

y=x-4.
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Logic and Functions

Read Explanation

Decision Maths

Read Explanation

Applied Mathematics

Read Explanation

Statistics

Read Explanation

Mechanics Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free