Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Question
Chapter 9, Problem 9PT
To determine
To identify: The asymptotes, domain and range of the graphed function.
Expert Solution & Answer
Answer to Problem 9PT
Domain is {x=|x≠−2} and range is {f(x)|f(x)≠−5} .
Explanation of Solution
Given information:
The function of the graph is f(x)=6x+2−5 .
Calculation:
For the function f(x)=ax−h+k .
The vertical asymptotes is at x=h . And
The horizontal asymptotes is at y=k .
The domain of the function is all real number except the value at the vertical asymptotes and the range of the function is all real number except the value at the horizontal asymptotes.
Therefore, from the above graph:
a=6 : The graph is expanded.
h=−2 : The graph is translated two units left. There is a vertical asymptotes at
x=−2 .
k=−5 : The graph is translated 5 units down. There is a horizontal asymptotes at f(x)=−5 .
Therefore,
Domain: {x=|x≠−2} and
Range : {f(x)|f(x)≠−5}
Hence,
Domain is {x=|x≠−2} and range is {f(x)|f(x)≠−5} .
Chapter 9 Solutions
Algebra 2
Ch. 9.1 - Prob. 1ACYPCh. 9.1 - Prob. 1BCYPCh. 9.1 - Prob. 2CYPCh. 9.1 - Prob. 3ACYPCh. 9.1 - Prob. 3BCYPCh. 9.1 - Prob. 4ACYPCh. 9.1 - Prob. 4BCYPCh. 9.1 - Prob. 4CCYPCh. 9.1 - Prob. 4DCYPCh. 9.1 - Prob. 5ACYP
Ch. 9.1 - Prob. 5BCYPCh. 9.1 - Prob. 6ACYPCh. 9.1 - Prob. 6BCYPCh. 9.1 - Prob. 1CYUCh. 9.1 - Prob. 2CYUCh. 9.1 - Prob. 3CYUCh. 9.1 - Prob. 4CYUCh. 9.1 - Prob. 5CYUCh. 9.1 - Prob. 6CYUCh. 9.1 - Prob. 7CYUCh. 9.1 - Prob. 8CYUCh. 9.1 - Prob. 9CYUCh. 9.1 - Prob. 10CYUCh. 9.1 - Prob. 11CYUCh. 9.1 - Prob. 12CYUCh. 9.1 - Prob. 13PPSCh. 9.1 - Prob. 14PPSCh. 9.1 - Prob. 15PPSCh. 9.1 - Prob. 16PPSCh. 9.1 - Prob. 17PPSCh. 9.1 - Prob. 18PPSCh. 9.1 - Prob. 19PPSCh. 9.1 - Prob. 20PPSCh. 9.1 - Prob. 21PPSCh. 9.1 - Prob. 22PPSCh. 9.1 - Prob. 23PPSCh. 9.1 - Prob. 24PPSCh. 9.1 - Prob. 25PPSCh. 9.1 - Prob. 26PPSCh. 9.1 - Prob. 27PPSCh. 9.1 - Prob. 28PPSCh. 9.1 - Prob. 29PPSCh. 9.1 - Prob. 30PPSCh. 9.1 - Prob. 31PPSCh. 9.1 - Prob. 32PPSCh. 9.1 - Prob. 33PPSCh. 9.1 - Prob. 34PPSCh. 9.1 - Prob. 35PPSCh. 9.1 - Prob. 36PPSCh. 9.1 - Prob. 37PPSCh. 9.1 - Prob. 38PPSCh. 9.1 - Prob. 39PPSCh. 9.1 - Prob. 40PPSCh. 9.1 - Prob. 41PPSCh. 9.1 - Prob. 42PPSCh. 9.1 - Prob. 43PPSCh. 9.1 - Prob. 44PPSCh. 9.1 - Prob. 45PPSCh. 9.1 - 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