occurs at F (0) b) [T-2] Sketch the graph of this function using graphing technology. Explain what happens on the graph with the x-intercept and the horizontal asymptote ?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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please complete sub part b)
6. [A-4] a) State an equation of a rational function that has the following:
A vertical asymptote at x = 1 and x = -2
A horizontal asymptote at y = 0
●
●
f(x) =
x-intercept at x = 3
y-intercept at y = 3/2
x-3
(x-1)(x+2)
VA XI and
x-2-
occur
when
the polynomial function in
the denominator equals zero
HA:
Y O
occurs because the degree of the nume
the denominator polynomial
numerator polynomial
x-intercept
occurs when
equals zero
Y-interce
Y 3/2
3000
b) [T-2] Sketch the graph of this function using graphing technology. Explain
what happens on the graph with the x-intercept and the horizontal asymptote ?
graphed on seperate page
x = 3
the
Transcribed Image Text:6. [A-4] a) State an equation of a rational function that has the following: A vertical asymptote at x = 1 and x = -2 A horizontal asymptote at y = 0 ● ● f(x) = x-intercept at x = 3 y-intercept at y = 3/2 x-3 (x-1)(x+2) VA XI and x-2- occur when the polynomial function in the denominator equals zero HA: Y O occurs because the degree of the nume the denominator polynomial numerator polynomial x-intercept occurs when equals zero Y-interce Y 3/2 3000 b) [T-2] Sketch the graph of this function using graphing technology. Explain what happens on the graph with the x-intercept and the horizontal asymptote ? graphed on seperate page x = 3 the
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Step 1 Graph

 

Graph of curve y=(x-3)(x-1)(x+2)

Algebra homework question answer, step 1, image 1

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