Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 8: Q17. (page 410)

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

y=2x-3

Short Answer

Expert verified

The equation y=2x-3 is a function.

Step by step solution

01

Step 1. Given information.

The given equation is y=2x-3.

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 2 and the ­y-intercept is at point 0,-3.

Upon graphing y=2x-3, we will get our required graph as shown below:

We can see that no vertical line will intersect the graph of equation y=2x-3 more than one place that is each x value corresponds to a specific y-value.

Therefore, the equation y=2x-3 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=2.

To form the inverse of a relation represented by a set of ordered pairs, you switch the coordinates of each ordered pair. For example, the inverse of relation. 1,2,3,4,5,6is2,1,4,3,6,5. Give an example of a relation that is a function, but whose inverse is not a function.

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

Spacecraft in 1997, the Pathfinder spacecraft landed on Mars. It contained a robotic vehicle named Sojourner that could roam up to 500 meters from the lander. The distance d (in meters) that Sojourner could travel in t hours is given byd=24t. How long would it take Sojourner to reach its maximum distance from the lander?

1. Copy and complete the table using the given equation


0

5

10

15

20

25

30


?

?

?

?

?

?

?

2. Use your completed table to graph d=24t.

3. Find the point on the graph whose d-coordinate is 500, and estimate the t-coordinate of this point. How much time would it take Sojourner to reach its maximum distance from the lander?

Is the equation x=4y+3 in function form? Explain.
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Probability and Statistics

Read Explanation

Pure Maths

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation

Discrete Mathematics

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