To graph: the function
Answer to Problem 134CR
y-intercept is
x-intercept is
Vertical asymptote is at
No horizontal asymptote
No hole
Slant asymptote is
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 less than numerator therefore we cannot calculate horizontal asymptotes
Slant asymptote occur when the degree of denominator is lower than that of the numerator.
And here degree of denominator is less than that of the numerator and horizontal asymptote is also absent, therefore there slant asymptote is given by solving the function-
Slant asymptote is
Now, since the degree of the denominator is less than the degree of the numerator therefore there will be no hole possible in the graph.
On solving the above equation we find that
There is no common factor on both numerator and denominator, hence no hole.
Chapter 2 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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