Graphical Reasoning Consider the function .
(a) Determine the changes (if any) in the intercepts, extrema, and concavity of the graph of f when a is varied.
(b) In the same viewing window, use a graphing utility to graph the function for four different values of a.
Consider the function:
The x and y intercepts can be computed by equating with 0.
Thus, the x-intercepts are and .
Thus, the y-intercept is . It is clear that one x-intercept would vary with a.
Differentiate the function and equate the derivative to zero to obtain the critical point.
Now check the sign of the second derivative at
To graph: The function for 4 values of a.
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