Concept explainers
To calculate the equation of horizontal asymptote for the given function.
Answer to Problem 32PPS
No horizontal asymptotes
Explanation of Solution
Given:
Function:
Concept used:
To find the equation of horizontal asymptotes:
If the degree of the denominator is bigger than the degree of the numerator, the horizontal asymptote is the x -axis.
If the degree of the numerator is bigger than the denominator, there is no horizontal asymptote.
If the degrees of numerator and the denominator are the same, the horizontal asymptote is the leading coefficient of the numerator divided by the leading coefficient of the denominator.
Also, a function
Calculation:
The given function is
The given equation is a linear equation. Asymptote is a curve that approaches the axes but never touches.
Linear equation has a straight line as graph where asymptotes cannot be drawn.
Conclusion:
Therefore, the function has no horizontal asymptotes
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