Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 3 - Section 3.2 - Introduction to Functions - Vocabulary, Readiness & Video Check: 4

Answer

function

Work Step by Step

A function is a relation in which each component of the domain corresponds to exactly one component of the range. In other words, if we define a relation in terms of x- and y-values, a function is a relation in which each x-value corresponds to exactly one y-value. We can use the vertical line test to determine if a graph is a graph of a function. If you draw a vertical line through the graph and this line intersects the graph more than once, this cannot be a graph of a function (as more than one intersection tells us that at least one x-value corresponds to more than one y-value).
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