(a)
To find: The power function end behavior modelfor
(a)
Answer to Problem 35RE
The power function end behavior model is
Explanation of Solution
Given information:The function is
Calculation:
The power function end behavior model of a polynomial function is the highest power term.
Consider the function.
The highest power term of the numerator of the function is
Therefore, the power function end behavior modelis
(b)
To find: The horizontal asymptote of the function
(b)
Answer to Problem 35RE
There is no horizontal asymptote of the function as the end behavior model is quadratic.
Explanation of Solution
Given information:The function is
Calculation:
The end behavior model for the function
To find the horizontal asymptote, apply limit to the end behavior model.
Since there is no finite limit, so no horizontal asymptotes exist.
Therefore, there is no horizontal asymptote of the function as the end behavior model is quadratic.
Chapter 2 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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