/*! 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. 38 Determine whether the equation d... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q. 38 (page 69)

Determine whether the equation defines yas a function of x.

localid="1645892345187" x2-4y2=1

Short Answer

Expert verified

The given equation is not define a function.

Step by step solution

01

Step 1. Given information

In the given question we have to determine whether the equation defines y as a function of x.

x2-4y2=1

02

Step 2. The given equation is x2-4y2=1

To determine whether the given equation is a function, solve the equation for y.

Subtract x2on both side

x2-4y2-x2=1-x2-4y2=1-x2

03

Step 3. Divide by -4 on both side

-4-4y2=1-x2-4y2=1-x2-4

taking square root

y=卤1-x2-4

04

Step 3. For example, if x=0

y=卤1-(0)2-4y=卤1-4

so two different outputs result from the same input. This means that the equation x2-4y2=1does not define 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.

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

In Problems 7鈥�18, match each graph to one of the following functions:

A.y=x2+2B.y=-x2+2C.y=x+2D.y=-x+2E.y=(x-2)2F.y=-(x+2)2G.y=x-2H.y=-x+2I.y=2x2J.y=-2x2K.y=2xL.y=-2x

In Problems 33鈥� 44, determine algebraically whether each function is even, odd, or neither.

g(x)=x2+3x2-1

Match each graph to its function.

A. Constant function

B. Identity function

C. Square function

D. Cube function

E. Square root function

F. Reciprocal function

G. Absolute value function

H. Cube root function

If 3,6is a point on the graph of role="math" localid="1645806552504" y=f(x), which of the following points must be on the graph of y=f-(x)?

True or False

To obtain the graph of f(x)=x3+5,shift the graph of y=x3vertically up 5units.
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Pure Maths

Read Explanation

Mechanics Maths

Read Explanation

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

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.