Q 96. Is the parabola y=x2聽a function... [FREE SOLUTION]

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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 11: Q 96. (page 1103)

Is the parabola $y = x^{2}$ a function? Is the parabola
$x = y^{2}$ a function? Explain why or why not.

Short Answer

Expert verified

The parabola $y = x^{2}$ is not a function since it is not one-to-one function and does not hold the horizontal line test and the parabola $x = y^{2}$ is not a function since it is not one-to-one function and does not hold the vertical line test.

Step by step solution

Step 1. Define function.

A function is a mathematical expression that expresses the relationship between the independent and dependent variables which shows the relationship between a set of inputs and a set of possible outputs where each input corresponds to one output.

Step 3. Describe whether the given parabola y=x2 and x=y2 are function .

In parabola, $y = x^{2}$ , $x$ is dependent variable and $y$ is independent variable.

The parabola $y = x^{2}$ is not a function since it is not one-to-one function and does not hold the horizontal line test.

In parabola, $x = y^{2}$ , $y$ is dependent variable and $x$ is independent variable.

The parabola $x = y^{2}$ is not a function since it is not one-to-one function and does not hold the vertical line test.

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91影视

Is the parabola $y = x^{2}$ a function? Is the parabola
$x = y^{2}$ a function? Explain why or why not.

Short Answer

Step by step solution

Step 1. Define function.

Step 3. Describe whether the given parabola y=x2 and x=y2 are function .

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91影视

Is the parabola y=x2a function? Is the parabolax=y2a function? Explain why or why not.

Short Answer

Step by step solution

Step 1. Define function.

Step 3. Describe whether the given parabola y=x2 and x=y2 are function .

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

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Study anywhere. Anytime. Across all devices.

Is the parabola $y = x^{2}$ a function? Is the parabola
$x = y^{2}$ a function? Explain why or why not.