12. Given the quadratic function f (x)%3D2x² + bx-5, where b is some real number constant. (a) If b = -2, are the zeroes of f (x) rational or irrational numbers? Explain how you arrived at your choice. (b) Is there a real number value for b for which the graph of f (x) will lie tangent to the x-axis? Justify your yes/no response.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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12. Given the quadratic function f (x)= 2x² + bx-5, where b is some real number constant.
(a) If b = -2, are the zeroes of f (x) rational or irrational numbers? Explain how you arrived at your choice.
(b) Is there a real number value for b for which the graph of f(x) will lie tangent to the x-axis? Justify your
yes/no response.
Transcribed Image Text:12. Given the quadratic function f (x)= 2x² + bx-5, where b is some real number constant. (a) If b = -2, are the zeroes of f (x) rational or irrational numbers? Explain how you arrived at your choice. (b) Is there a real number value for b for which the graph of f(x) will lie tangent to the x-axis? Justify your yes/no response.
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