4. For f(x) = x²+10x³-84x², find and use the second derivative to identify intervals of concavity and inflection points. Support your work with a signed, labeled number line. Do NOT use a graphing utility until after completing the problem analytically. a. Concave up: b. Concave down: zol palodun bangle baladel on agarwollot of c. Inflection point(s): d. Use your TI-8X to confirm your results. If the graph does not support your conclusions, find and correct your error. [hint: a good window is x[-20,10] y[-10000,1000]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
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4. For f(x) = x²+10x³-84x², find and use the second derivative to identify intervals of
concavity and inflection points. Support your work with a signed, labeled number line. Do NOT
use a graphing utility until after completing the problem analytically.
a. Concave up:
b. Concave down:
zol palodun bangle baladel on agarwollot of
c. Inflection point(s):
d. Use your TI-8X to confirm your results. If the graph does not support your conclusions, find
and correct your error. [hint: a good window is x[-20,10] y[-10000,1000]
Transcribed Image Text:4. For f(x) = x²+10x³-84x², find and use the second derivative to identify intervals of concavity and inflection points. Support your work with a signed, labeled number line. Do NOT use a graphing utility until after completing the problem analytically. a. Concave up: b. Concave down: zol palodun bangle baladel on agarwollot of c. Inflection point(s): d. Use your TI-8X to confirm your results. If the graph does not support your conclusions, find and correct your error. [hint: a good window is x[-20,10] y[-10000,1000]
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