Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 9: Q21. (page 597)

Graph each function. Find the y-intercept, and state the domain and range.

y=3x+2

Short Answer

Expert verified

The graph of the function is:

y-intercept is0,2and domain and range both are all real numbers.

Step by step solution

01

Step 1. Graph the equation.

Graph of the function:y=3x+2

02

Step 2. Find the y-intercept. 

The y-intercept of a graph is the point where the graph intersects the y-axis that is., x-coordinate of a y-intercept is 0. So, to find y-intercept substitute 0 for x into the equation y=3x+2.

y=3x+2=30+2      [  x=0  ]=2

Thus, y-intercept is y=2.

03

Step 3. Find the range and domain.

The domain of a function fx is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.

From the graph, it can be concluded that domain and range both are all real numbers.

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

The cost of 5 notebooks and 3 pens is \(9.75. The cost of 4 notebooks and 6 pens is \)10.50. Which of the following systems can be used to find the cost of a notebook nand a pen p?

a. Write a system of equations to model the situation.

b. Solve the system of equations. How much does each item cost?

Record your answers on the answer sheet provided by your teacher or on a sheet of paper.

Use the graph of the quadratic equation shown below to answer each question.

A What is the vertex?

B What is they-intercept?

C What is the axis of symmetry?

D What are the roots of the corresponding quadratic equation?

Determine whether each trinomial is a perfect square trinomial. Write yes or no. If so, factor it.

a2−22a+121

Graph each function. Find the y-intercept, and state the domain and range.

y=2x−3

Determine whether each trinomial is a perfect square trinomial. Write yes or no. If so, factor it.

k2−16k+64
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation

Decision Maths

Read Explanation

Calculus

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