Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 3 - Introduction to Graphing - Review Exercises: Chapter 3: 56

Answer

Yes, it is possible for a graph to have only one intercept. When a graph is a line that is parallel to either of the two axes, then the graph only has one intercept.

Work Step by Step

Vertical lines (except the y-axis) have x-intercepts but no y-intercepts. This is because vertical lines are parallel to the y-axis (and therefore will never touch nor cross the y-axis). Horizontal lines (except the x-axis) have y-intercepts but no x-intercepts. This is because horizontal lines are parallel to the x-axis (and therefore will never touch nor cross the x-axis). Thus, it is possible for a graph to have only one x-intercept.
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