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Factor first. Then, identify the excluded values, simplify, find the x-intercepts, vertical asympotes, holes in the graph (including the y-value of the hole as well), y-intercept, and horizontal asymptote.

Factor first. Then, identify the excluded values, simplify, find the x-intercepts, vertical asympotes, holes in the graph (including the y-value of the hole as well), y-intercept, and horizontal asymptote.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 3SC
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Question

Factor first. Then, identify the excluded values, simplify, find the x-intercepts, vertical
asympotes, holes in the graph (including the y-value of the hole as well), y-intercept, and
horizontal asymptote.

• ƒ(x) = x³ - 4x² + 3x 3x² - 12x
Transcribed Image Text:• ƒ(x) = x³ - 4x² + 3x 3x² - 12x
Expert Solution
Step 1

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.

y=\frac{x^3-4x^2+3x}{3x^2-12x}

y=\frac{x\left(x^2-4x+3\right)}{3x\left(x-4\right)}

y=\frac{x\left(\left(x^2-x\right)+\left(-3x+3\right)\right)}{3x\left(x-4\right)}

y=\frac{x\left(x\left(x-1\right)-3\left(x-1\right)\right)}{3x\left(x-4\right)}

y=\frac{x\left(\left(x-1\right)\left(x-3\right)\right)}{3x\left(x-4\right)}

y=\frac{x\left(x-1\right)\left(x-3\right)}{3x\left(x-4\right)}

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