Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. y = x² - 7x Step 1 To find the y-intercepts, substitute x = 0 and solve for y. To find the x-intercepts, substitute y = 0 and solve for x. The intercepts are as follows. (x, y) = ( (x, y) = ( (x, y) = ( ) (smallest x-value) ) (largest x-value)

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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Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes.
y = x² - 7x
Step 1
To find the y-intercepts, substitute x = 0 and solve for y. To find the x-intercepts, substitute y = 0 and solve for x.
The intercepts are as follows.
(x, y) = (
(x, y) = (
(x, y) = (
) (smallest x-value)
)
) (largest x-value)
Transcribed Image Text:Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. y = x² - 7x Step 1 To find the y-intercepts, substitute x = 0 and solve for y. To find the x-intercepts, substitute y = 0 and solve for x. The intercepts are as follows. (x, y) = ( (x, y) = ( (x, y) = ( ) (smallest x-value) ) ) (largest x-value)
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