Find the zeros of f(x) = -x3 - 2x² + 7x-4. Then describe the behavior of the graph of f at each zero. %3D A. 4,-1; As x →-0o, f-0o. When -1 1, f oo, B. -4, 1; As x →-00, f→ -0o. When -4 0. At x = 1, f is tangent to the x-axis, so when x > 1, f-0o. C. 4,-1; As x→-0o, f→ 0o. When -1 0. At x = 4, f is tangent to the x-axis, so when x > 1, f o. D. -4, 1; As x→-0o, f→ 0o. When -4 1, f → -00,
Find the zeros of f(x) = -x3 - 2x² + 7x-4. Then describe the behavior of the graph of f at each zero. %3D A. 4,-1; As x →-0o, f-0o. When -1 1, f oo, B. -4, 1; As x →-00, f→ -0o. When -4 0. At x = 1, f is tangent to the x-axis, so when x > 1, f-0o. C. 4,-1; As x→-0o, f→ 0o. When -1 0. At x = 4, f is tangent to the x-axis, so when x > 1, f o. D. -4, 1; As x→-0o, f→ 0o. When -4 1, f → -00,
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Find the zeros of f(x) = -x3 - 2x² + 7x-4. Then describe the behavior of the graph of f at each zero.
A. 4,-1; As x →-0o, f-0o, When -1 <x < 4, f< 0. At x = 4, f is tangent to the x-axis, so when x > 1, f oo.
B. -4, 1; As x →-o, f→ -0o. When -4 <x < 1, f> 0. At x = 1, f is tangent to the x-axis, so when x > 1, f -00.
C. 4,-1; As x→o, f→ , When -1 <x< 4, f > 0. At x = 4, f is tangent to the x-axis, so when x > 1, f-→o.
D. -4, 1; As x→-0, f→ 0o. When -4 <x < 1, f< 0. At x = 1, f is tangent to the x-axis, so when x > 1, f→ -00,
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