To graph: the function
Answer to Problem 132CR
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 equal to numerator therefore we calculate
As
Therefore after solving 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 therefore slant asymptote is not possible.
Now, the degree of the denominator is equal to the degree of the numerator therefore there will be a hole possible in the graph.
But in the given function there is no common factor found both at numerator and denominator
Therefore there is no hole for the given function.
Chapter 2 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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