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Sketch the graph of the given function. Check your sketch using technology. g(x) 2x3 - бх, domain [-4, 4] (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) %3 (1-1.732, 0 x-intercept (х, у) %3 0,0 x-intercept (х, у) %3D 1.732, 0 y-intercept (х, у) %3D 0,0 (b) Indicate any extrema. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.) maximum (х, у) %3D -1, 4 (х, у) %3 1, – 4 minimum DNE (х, у) %3D DNE DNE (х, у) %3 DNE (c) Indicate any points of inflection. (If an answer does not exist, enter DNE.) (х, у) %3D DNE (d) Indicate the behavior near singular points of f. o y → +o as x → 0 o y → 0 as x → ±4 o y → +o as x → ±4 o y → +o as x → ±2 The function is defined everywhere on the domain. (e) Indicate the behavior at infinity. o y → +o as x → ±0∞ o y → -oo as x → -o; y → +o as x → +∞ o y → -oo as x → ±∞ o y → +o as x → -0; y → -o as x → +∞ O The domain of the function does not extend to infinity.

Sketch the graph of the given function. Check your sketch using technology. g(x) 2x3 - бх, domain [-4, 4] (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) %3 (1-1.732, 0 x-intercept (х, у) %3 0,0 x-intercept (х, у) %3D 1.732, 0 y-intercept (х, у) %3D 0,0 (b) Indicate any extrema. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.) maximum (х, у) %3D -1, 4 (х, у) %3 1, – 4 minimum DNE (х, у) %3D DNE DNE (х, у) %3 DNE (c) Indicate any points of inflection. (If an answer does not exist, enter DNE.) (х, у) %3D DNE (d) Indicate the behavior near singular points of f. o y → +o as x → 0 o y → 0 as x → ±4 o y → +o as x → ±4 o y → +o as x → ±2 The function is defined everywhere on the domain. (e) Indicate the behavior at infinity. o y → +o as x → ±0∞ o y → -oo as x → -o; y → +o as x → +∞ o y → -oo as x → ±∞ o y → +o as x → -0; y → -o as x → +∞ O The domain of the function does not extend to infinity.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section: Chapter Questions
Problem 74SGR
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The only one's I got right were part A the second x-intercept and the y-intercept, struggling on this porlbem, thank you ahead of time.

Sketch the graph of the given function. Check your sketch using technology. g(x) 2x3 - бх, domain [-4, 4] (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) %3 (1-1.732, 0 x-intercept (х, у) %3 0,0 x-intercept (х, у) %3D 1.732, 0 y-intercept (х, у) %3D 0,0 (b) Indicate any extrema. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.) maximum (х, у) %3D -1, 4 (х, у) %3 1, – 4 minimum DNE (х, у) %3D DNE DNE (х, у) %3 DNE (c) Indicate any points of inflection. (If an answer does not exist, enter DNE.) (х, у) %3D DNE (d) Indicate the behavior near singular points of f. o y → +o as x → 0 o y → 0 as x → ±4 o y → +o as x → ±4 o y → +o as x → ±2 The function is defined everywhere on the domain. (e) Indicate the behavior at infinity. o y → +o as x → ±0∞ o y → -oo as x → -o; y → +o as x → +∞ o y → -oo as x → ±∞ o y → +o as x → -0; y → -o as x → +∞ 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) 2x3 - бх, domain [-4, 4] (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) %3 (1-1.732, 0 x-intercept (х, у) %3 0,0 x-intercept (х, у) %3D 1.732, 0 y-intercept (х, у) %3D 0,0 (b) Indicate any extrema. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.) maximum (х, у) %3D -1, 4 (х, у) %3 1, – 4 minimum DNE (х, у) %3D DNE DNE (х, у) %3 DNE (c) Indicate any points of inflection. (If an answer does not exist, enter DNE.) (х, у) %3D DNE (d) Indicate the behavior near singular points of f. o y → +o as x → 0 o y → 0 as x → ±4 o y → +o as x → ±4 o y → +o as x → ±2 The function is defined everywhere on the domain. (e) Indicate the behavior at infinity. o y → +o as x → ±0∞ o y → -oo as x → -o; y → +o as x → +∞ o y → -oo as x → ±∞ o y → +o as x → -0; y → -o as x → +∞ O The domain of the function does not extend to infinity.
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