To graph: the function
![Check Mark](/static/check-mark.png)
Answer to Problem 133CR
y-intercept is
x-intercept is
Vertical asymptote is at
No horizontal asymptote
No holes
Slant asymptotes 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 can not calculate
horizontal asymptote.
Slant asymptote occur when the degree of denominator is lower than that of the numerator.
Therefore it can be calculated by solving the function in to simplest form by separating both numerator and denominator and is given as
Therefore the slant asymptote is the straight line
Now, the degree of the denominator is less than the degree of the numerator therefore there will be no hole possible in the graph.
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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