/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 11 For the equation y=x3-9x, determ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q. 11 (page 247)

For the equation y=x3-9x, determine the intercepts and test for symmetry.

Short Answer

Expert verified

The x-intercepts are(0,0),(3,0),(-3,0)

Also the function is symmetric

The graph can be given as

Step by step solution

01

Given information

We are given a equationy=x3-9x

02

We determine the x-intercept

At x-intercept we have y=0

On substituting we get

x3-9x=0x(x2-9)=0x(x-3)(x+3)=0

The x-intercepts are0,3,-3

03

Plot the graph

We plot the graph

From the graph we can observe that the graph is symmetric

04

Conclusion

The x-intercept can be given as 0,3,-3.

The graph is symmetric

The graph can be given as

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

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 each rational function using transformations.

R(x)=1+2(x-3)2

Graph each rational function using transformations.

R(x)=x-4x

True or False. If the degree of the numerator of a rational function equals the degree of the denominator, then the ratio of the leading coefficients give rise to the horizontal asymptote.

Make up a polynomial function that has the following characteristics: crosses the x-axis at -1and 4, touches the x-axis at 0and 2, and is above the x-axis between 0and2. Give your polynomial function to a fellow classmate and ask for a written critique

Find a rational function that might have the given graph.
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Statistics

Read Explanation

Probability and Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Applied Mathematics

Read Explanation

Decision 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.