To graph: the function
Answer to Problem 131CR
y-intercept is
x-intercept is
Vertical asymptote is at
Horizontal asymptote is at
No holes
No slant asymptotes
Explanation of Solution
Given information:
Graph: Assuming the value of x to find
Interpretation :
To determine y-intercept put
To determine x-intercept put
To find the vertical asymptotes we have to solve the denominator by equating it equal to zero:
A horizontal asymptotes is defined when the degree of the denominator is greater than or equal to degree of the numerator.
Here the degree of denominator is greater than numerator therefore we calculate
As
Therefore horizontal asymptote is at
Slant asymptotes occur when the degree of denominator is lower than that of the numerator. since the function is having horizontal asymptotes and degree of denominator is greater than that of the numerator, therefore slant asymptote is not possible.
Now , the degree of the denominator is greater than the degree of the numerator therefore there will be no hole possible in the graph.
Chapter 2 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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