Curve Sketchingy = x3 - 4x2 - 8x - 5Show your work to determine:the y-intercept and any x-intercepts (you may need to apply technology to assist you with this)the critical point(s) of your functionthe intervals of increase/decreasethe point(s) of inflectionthe intervals of concavityOn a piece of graphing paper, sketch your function and clearly indicate each of the key features you calculated in the previous stepIn a well organized paragraph, use vocabulary from this unit to explain:how derivatives can be applied to determine the critical point(s) of a functionhow you used the first derivative test in order to classify the critical point(s) you found

Answered: Image /qna-images/answer/27c9175a-05f6-41e9-834d-0692b72f6e3b.jpg

Answered: Curve Sketching y = x3 - 4x2 - 8x - 5…

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...

Related questions

Question

Curve Sketching

y = x³ - 4x² - 8x - 5

Show your work to determine:
- the y-intercept and any x-intercepts (you may need to apply technology to assist you with this)
- the critical point(s) of your function
- the intervals of increase/decrease
- the point(s) of inflection
- the intervals of concavity
On a piece of graphing paper, sketch your function and clearly indicate each of the key features you calculated in the previous step
In a well organized paragraph, use vocabulary from this unit to explain:
- how derivatives can be applied to determine the critical point(s) of a function
- how you used the first derivative test in order to classify the critical point(s) you found