Concept explainers
To find the asymptotes of the given function −
Answer to Problem 73SR
The vertical asymptote of the function
Explanation of Solution
Given: Function:
Formula used:
Asymptote is a straight line that can be horizontal, vertical or obliquous that goes closer and closer to a curve which is the graphic of a given function.
The vertical asymptotes will occur at those values of x for which the denominator is equal to zero.
The horizontal asymptote is the x-axis (y = 0) if the degree (the largest exponent) of the denominator is bigger than the degree of the numerator.
Calculation:
Given: Function:
As per the definition of the Vertical asymptotes, we have the denominator as Zero:
Thus, the vertical asymptote of the function
As per the definition of the Horizontal asymptotes, we have:
Thus, the Horizontal asymptote of the function
Conclusion:
Hence, the vertical asymptote of the function
Chapter 11 Solutions
Algebra 1
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