Find a parabola with equation y = ax2 + bx + c that has slope 5 at x = 1, slope −11 at x = −1, and passes through the point (2, 19). For what values of x does the graph of f(x) = x3 + 5x2 + x + 19 have a horizontal tangent? (Enter your answers as a comma-separated list.)
Find a parabola with equation y = ax2 + bx + c that has slope 5 at x = 1, slope −11 at x = −1, and passes through the point (2, 19). For what values of x does the graph of f(x) = x3 + 5x2 + x + 19 have a horizontal tangent? (Enter your answers as a comma-separated list.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 7DE
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Question
Find a parabola with equation y = ax2 + bx + c that has slope 5 at x = 1, slope −11 at x = −1, and passes through the point (2, 19).
For what values of x does the graph of
f(x) = x3 + 5x2 + x + 19
have a horizontal tangent? (Enter your answers as a comma-separated list.)
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