Sketch the polynomial: y = -2x³ – x² + 3x, by identifying the following:

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.5: Zeros Of Polynomial Functions
Problem 81E
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Sketch the polynomial: y = -2x³ – x² + 3x, by identifying the following:
a. State the domain of the function on its x- and y-intercepts
b. First derivative with associated critical numbers
c. Second derivative with classified critical numbers for local extrema
d. Points of inflection using the second derivative
e. Intervals of increase and decrease using the critical numbers
f. Concavity behaviour (in a chart format)
g. Sketch of the curve
Transcribed Image Text:Sketch the polynomial: y = -2x³ – x² + 3x, by identifying the following: a. State the domain of the function on its x- and y-intercepts b. First derivative with associated critical numbers c. Second derivative with classified critical numbers for local extrema d. Points of inflection using the second derivative e. Intervals of increase and decrease using the critical numbers f. Concavity behaviour (in a chart format) g. Sketch of the curve
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