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Sketch the graph of the given function. Check your sketch using technology. g(x) = x³ - 3x, domain [-2, 2] (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 (x, y) = x-intercept (x, y) = x-intercept (x, y) y-intercept (x, y) = (b) Indicate any extrema. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.) -Select--- (x, y) =

Sketch the graph of the given function. Check your sketch using technology. g(x) = x³ - 3x, domain [-2, 2] (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 (x, y) = x-intercept (x, y) = x-intercept (x, y) y-intercept (x, y) = (b) Indicate any extrema. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.) -Select--- (x, y) =

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 58E
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Sketch the graph of the given function. Check your sketch using technology. g(x) = x³ - 3x, domain [-2, 2] (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) 3D x-intercept (х, у) 3D x-intercept (х, у) 3D y-intercept (x, y) = 1)= (b) Indicate any extrema. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.) ---Select-- v (x, y) = --Select--- v (x, y) = --Select-- v (х, у) %3D --Select-- v (х, у) %3 (c) Indicate any points of inflection. (If an answer does not exist, enter DNE.) (х, у) %3 (d) Indicate the behavior near singular points of f. O y + +o as x - 0 O y + 0 as x → +2 y + +0o as x → 12 y - +0o as x → 1 O The function is defined everywhere on the domain. (e) Indicate the behavior at infinity. O y + +o as x → t00 O y + -o as x → -o; y + +o as x + +0 y - -o as x - to O y + +o as x → -o; y + -o 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) = x³ - 3x, domain [-2, 2] (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) 3D x-intercept (х, у) 3D x-intercept (х, у) 3D y-intercept (x, y) = 1)= (b) Indicate any extrema. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.) ---Select-- v (x, y) = --Select--- v (x, y) = --Select-- v (х, у) %3D --Select-- v (х, у) %3 (c) Indicate any points of inflection. (If an answer does not exist, enter DNE.) (х, у) %3 (d) Indicate the behavior near singular points of f. O y + +o as x - 0 O y + 0 as x → +2 y + +0o as x → 12 y - +0o as x → 1 O The function is defined everywhere on the domain. (e) Indicate the behavior at infinity. O y + +o as x → t00 O y + -o as x → -o; y + +o as x + +0 y - -o as x - to O y + +o as x → -o; y + -o as x + +0 O The domain of the function does not extend to infinity.
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