a. Find any intercepts (list as ordered pairs). х-int у-int b. Find any critical numbers. c. List the interval(s) where the function is increasing and decreasing. Increasing Decreasing

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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Consider the function f(x)= x^3-9x^2

 

a. Find any intercepts (list as ordered pairs).
x-int
y-int
b. Find any critical numbers.
c. List the interval(s) where the function is increasing and decreasing.
Increasing
Decreasing
d. List the interval(s) where the function is concave up and concave down.
Concave Up
Concave Down
e. List any inflection points (as ordered pairs).
f. Use the information from parts a. – e. to sketch the graph the function. Label any
intercepts, relative extrema, and inflection points.
Transcribed Image Text:a. Find any intercepts (list as ordered pairs). x-int y-int b. Find any critical numbers. c. List the interval(s) where the function is increasing and decreasing. Increasing Decreasing d. List the interval(s) where the function is concave up and concave down. Concave Up Concave Down e. List any inflection points (as ordered pairs). f. Use the information from parts a. – e. to sketch the graph the function. Label any intercepts, relative extrema, and inflection points.
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