Given the equation of the polynomial function: p(x) = −2(x + 5)(2x + 1)(x − 3)^2 a) Describe the domain and range b) Describe any x-intercepts c) Describe the end behavior d) Sketch this function and label all intercepts(Hint: be sure to write the scale on your graph). e) How many extrema does this function have? Justify your answer? f) Write the intervals of x values where the values of p(x) are increasing when x is increasing. (approximate is fine) Make a rough sketch by hand!
Given the equation of the polynomial function: p(x) = −2(x + 5)(2x + 1)(x − 3)^2 a) Describe the domain and range b) Describe any x-intercepts c) Describe the end behavior d) Sketch this function and label all intercepts(Hint: be sure to write the scale on your graph). e) How many extrema does this function have? Justify your answer? f) Write the intervals of x values where the values of p(x) are increasing when x is increasing. (approximate is fine) Make a rough sketch by hand!
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Given the equation of the polynomial function: p(x) = −2(x + 5)(2x + 1)(x − 3)^2
a) Describe the domain and range
b) Describe any x-intercepts
c) Describe the end behavior
d) Sketch this function and label all intercepts(Hint: be sure to write the scale on your graph).
e) How many extrema does this function have? Justify your answer?
f) Write the intervals of x values where the values of p(x) are increasing when x is increasing. (approximate is fine)
Make a rough sketch by hand!
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