To graph: the function

Answer to Problem 136CR
Vertical asymptote is at
Horizontal asymptote is at
Hole is
No slant asymptotes
Explanation of Solution
Given information:
Graph: Assuming the value of x to find
Interpretation :
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 can calculate by finding
Slant asymptote occur when the degree of denominator is lower than that of the numerator.
But here degree of denominator is equal to that of the numerator and horizontal asymptotes is also present , therefore there will be no slant asymptote.
Now , the degree of the denominator is equal to the degree of the numerator therefore there will be a hole possible in the graph.
On solving the above equation we find that
The common factor on both numerator and denominator is
Now we make the common factor equals to zero
Chapter 2 Solutions
EP PRECALC.GRAPHING APPR.-WEBASSIGN-1YR
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