(a)
To calculate: The right end behavior model.
(a)
Answer to Problem 41E
The right behavior model shows that as x approaches
Explanation of Solution
Given Information: The function is
Calculation:
The graph of the function looks like this,
The right-hand behaviour model is,
Conclusion:
The right behavior model shows that as x approaches
(b)
To calculate: The left end behavior model.
(b)
Answer to Problem 41E
The right behavior model shows that as x approaches
Explanation of Solution
Given Information: The function is
Calculation:
The graph of the function looks like this,
Theleft-hand behaviour model is,
Conclusion:
The right behavior model shows that as x approaches
(c)
To find: If there are any horizontal tangents.
(c)
Answer to Problem 41E
The function has no horizontal tangent.
Explanation of Solution
Given Information: The function is
Calculation:
The graph of the function looks like this,
The horizontal tangent is obtained by equating derivative of the function to 0.
The derivative of the function is,
Equate the derivative to 0,
The above condition is not possible for any value of x, hence the function has no horizontal tangent.
Conclusion:
The function has no horizontal tangent.
Chapter 4 Solutions
Calculus: Graphical, Numerical, Algebraic
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