POLYNOMIAL AND RATIONAL FUNCTIONS Ma Graphing a rational function: Constant over linear 6 Graph the rational function f(x): х-3 To graph the function, draw the horizontal and vertical asymptotes (if any) and plot at least two points on each piece of the graph Then click on the graph icon. 8 7 6 5 4 ? X 3 2 + + + +> -7 -3 2 -6 -5 -4 3 6 4 -3 -4. 5 -6 -8- ш HH H>

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section: Chapter Questions
Problem 84E
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POLYNOMIAL AND RATIONAL FUNCTIONS
Ma
Graphing
a rational function: Constant over linear
6
Graph the rational function f(x):
х-3
To graph the function, draw the horizontal and vertical asymptotes (if any) and plot at least two points on each piece of the
graph
Then click on the graph icon.
8
7
6
5
4
?
X
3
2
+
+
+
+>
-7
-3
2
-6
-5
-4
3
6
4
-3
-4.
5
-6
-8-
ш
HH
H>
Transcribed Image Text:POLYNOMIAL AND RATIONAL FUNCTIONS Ma Graphing a rational function: Constant over linear 6 Graph the rational function f(x): х-3 To graph the function, draw the horizontal and vertical asymptotes (if any) and plot at least two points on each piece of the graph Then click on the graph icon. 8 7 6 5 4 ? X 3 2 + + + +> -7 -3 2 -6 -5 -4 3 6 4 -3 -4. 5 -6 -8- ш HH H>
Expert Solution
Step 1

Step 2

The vertical asymptote is calculated as follows.

Since the given function is a rational function, the vertical asymptotes are the undefined points also known as the zeros of the denominator.

Take the denominator of the given function and equate it to zero. The value of x = 3 is the vertical asymptote.

Here, the denominators degree is greater than the numerators degree, the horizontal asymptote is the x-axis, that is y = 0.

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