2. Sketch the graph of the polynomial function f(x) = -x3 – 4x² + 4x + 16 in the interval [-5, 3]. 1) Write the polynomial function in factored form. 2) Sketch the graph of the polynomial function, labeling key points on the graph. 3) Describe the characteristics of the graph including: zeros, J-intercept, relative maximum and minimum and end behavior.

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 82E
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2. Sketch the graph of the polynomial function f(x) = -x3 – 4x2 + 4x + 16 in the interval [-5, 3].
1) Write the polynomial function in factored form.
2) Sketch the graph of the polynomial function, labeling key points on the graph.
3) Describe the characteristics of the graph including: zeros, J-intercept, relative maximum and minimum and end behavior.
Transcribed Image Text:2. Sketch the graph of the polynomial function f(x) = -x3 – 4x2 + 4x + 16 in the interval [-5, 3]. 1) Write the polynomial function in factored form. 2) Sketch the graph of the polynomial function, labeling key points on the graph. 3) Describe the characteristics of the graph including: zeros, J-intercept, relative maximum and minimum and end behavior.
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