Sketch the graph of the given function. Use technology to approximate the intercepts, coordinates of extrema, and points of inflection to one decimal place. Check your sketch using technology. f(x) = 2x3 + 3x2 - 12x + 1 (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 (x, y) = x-intercept (x, y) = - ([ y-intercept (х, у) (b) Indicate any extrema. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.) maximum v (х, у) - minimum (x, y) = (c) Indicate any points of inflection. (If an answer does not exist, enter DNE.) (x, y) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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Sketch the graph of the given function. Use technology to approximate the intercepts, coordinates of extrema, and points of inflection to one decimal place. Check your sketch using technology.
f(x) = 2x + 3x² – 12x + 1
(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
(х, у) %3D
(b) Indicate any extrema. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.)
maximum
(х, у) %3D
minimum
(х, у) %3D
(c) Indicate any points of inflection. (If an answer does not exist, enter DNE.)
(х, у) %3D
Transcribed Image Text:Sketch the graph of the given function. Use technology to approximate the intercepts, coordinates of extrema, and points of inflection to one decimal place. Check your sketch using technology. f(x) = 2x + 3x² – 12x + 1 (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 (х, у) %3D (b) Indicate any extrema. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.) maximum (х, у) %3D minimum (х, у) %3D (c) Indicate any points of inflection. (If an answer does not exist, enter DNE.) (х, у) %3D
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