College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 4 - Section 4.3 - Quadratic Functions and Their Properties - 4.3 Assess Your Understanding: 11

Answer

Option (a)

Work Step by Step

RECALL: The graph of a function crosses the x-axis at two different points when the function's discriminant, which is $b^2-4ac$, is positive. The discriminant of the given function is greater than zero, which is positive. Thus, the function's graph will cross the x-axis at two different points and therefore has two x-intercepts. Therefore, the answer is Option (a).
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