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,...
Related questions
Question
![I. Sketch the graph of the following functions. Apply the step - by - step process in graphing rational
functions.
a. f(x) =
x+4x+3
b. f(x) =;
x+5
(x-2)(x+2)
Steps in Graphing Rational Functions
Step 1: Factor the numerator and the denominator.
Step 2: Find the vertical asymptote by identifying the not common factor to the numerator and
denominator and equate to 0.
Step 3: Determine if there is a removable discontinuity by identifying the common factor to the
numerator and denominator and equate to 0.
Step 4: Find the horizontal asymptote, if it exists.
Step 5: Use table of values to see the trend of the graph or sign analysis.
Step 6: Sketch the graph.
II. Determine the inverse of the following functions. Verify that fIf-(x)1 = x and f-If(x)] = x.
a. f(x) = x +9
5-3x
b. f(x) =
c. f(x) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7aa64980-5e2e-4545-acd4-3e1a50b1c11d%2Fa3c48d83-f2f1-45ac-9794-7ff153020c38%2Ftp9h7i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:I. Sketch the graph of the following functions. Apply the step - by - step process in graphing rational
functions.
a. f(x) =
x+4x+3
b. f(x) =;
x+5
(x-2)(x+2)
Steps in Graphing Rational Functions
Step 1: Factor the numerator and the denominator.
Step 2: Find the vertical asymptote by identifying the not common factor to the numerator and
denominator and equate to 0.
Step 3: Determine if there is a removable discontinuity by identifying the common factor to the
numerator and denominator and equate to 0.
Step 4: Find the horizontal asymptote, if it exists.
Step 5: Use table of values to see the trend of the graph or sign analysis.
Step 6: Sketch the graph.
II. Determine the inverse of the following functions. Verify that fIf-(x)1 = x and f-If(x)] = x.
a. f(x) = x +9
5-3x
b. f(x) =
c. f(x) =
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