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Sketch the graph of the given function. Check your sketch using technology. g(x) = x - 27x, domain [-6, 6] (a) Indicate the x- and y-intercepts. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.) x-intercept (х, у) %- x-intercept (х, у) - x-intercept (х, у) %3D y-intercept (x, y) = (b) Indicate any extrema. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.) (х, у) - ---Select- v ---Select-- v (x, y) = ---Select--- v (x, y) = ( ---Select--- V (x, y) = | (c) Indicate any points of inflection. (If an answer does not exist, enter DNE.) »-(O) (d) Indicate the behavior near singular points of f. O y + +o as x - 0 O y- 0 as x → 16 O y+ +o as x - 16 O y - +00 as x - 13 O The function is defined everywhere on the domain. (e) Indicate the behavior at infinity. O y - +00 as x - t00 O y- -0 as x - -0; y + +o as x → +00 O y- -0 as x - t0 O y + +0 as x - -0; y - -o as x- +0

Sketch the graph of the given function. Check your sketch using technology. g(x) = x - 27x, domain [-6, 6] (a) Indicate the x- and y-intercepts. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.) x-intercept (х, у) %- x-intercept (х, у) - x-intercept (х, у) %3D y-intercept (x, y) = (b) Indicate any extrema. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.) (х, у) - ---Select- v ---Select-- v (x, y) = ---Select--- v (x, y) = ( ---Select--- V (x, y) = | (c) Indicate any points of inflection. (If an answer does not exist, enter DNE.) »-(O) (d) Indicate the behavior near singular points of f. O y + +o as x - 0 O y- 0 as x → 16 O y+ +o as x - 16 O y - +00 as x - 13 O The function is defined everywhere on the domain. (e) Indicate the behavior at infinity. O y - +00 as x - t00 O y- -0 as x - -0; y + +o as x → +00 O y- -0 as x - t0 O y + +0 as x - -0; y - -o as x- +0

Calculus: Early Transcendentals
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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Sketch the graph of the given function. Check your sketch using technology. g(x) = x - 27x, domain [-6, 6] (a) Indicate the x- and y-intercepts. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.) x-intercept (х, у) %- x-intercept (х, у) - x-intercept (х, у) %3D y-intercept (x, y) = (b) Indicate any extrema. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.) (х, у) - ---Select- v ---Select-- v (x, y) = ---Select--- v (x, y) = ( ---Select--- V (x, y) = | (c) Indicate any points of inflection. (If an answer does not exist, enter DNE.) (х, у) - (d) Indicate the behavior near singular points of f. O y + +o as x - 0 O y- 0 as x → 16 O y+ +o as x - 16 O y - +00 as x - 13 O The function is defined everywhere on the domain. (e) Indicate the behavior at infinity. V+ +00 as x - t00 O y- -0 as x - -0; y- +0 as x + +00 O y+ -00 as x - foo O y- +o as x - -o; y → -00 as x- +0 O The domain of the function does not extend to infinity.
Transcribed Image Text:Sketch the graph of the given function. Check your sketch using technology. g(x) = x - 27x, domain [-6, 6] (a) Indicate the x- and y-intercepts. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.) x-intercept (х, у) %- x-intercept (х, у) - x-intercept (х, у) %3D y-intercept (x, y) = (b) Indicate any extrema. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.) (х, у) - ---Select- v ---Select-- v (x, y) = ---Select--- v (x, y) = ( ---Select--- V (x, y) = | (c) Indicate any points of inflection. (If an answer does not exist, enter DNE.) (х, у) - (d) Indicate the behavior near singular points of f. O y + +o as x - 0 O y- 0 as x → 16 O y+ +o as x - 16 O y - +00 as x - 13 O The function is defined everywhere on the domain. (e) Indicate the behavior at infinity. V+ +00 as x - t00 O y- -0 as x - -0; y- +0 as x + +00 O y+ -00 as x - foo O y- +o as x - -o; y → -00 as x- +0 O The domain of the function does not extend to infinity.
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