To calculate: The minimum value and maximum value of the function. Also, describe where the function is increasing and decreasing.
Answer to Problem 57E
The maximum value of the function is
Explanation of Solution
Given information:
The function:
Calculation:
The given function is
Rewrite the given function in the equivalent function of the vertex form
In the above equation it is seen that the vertex is
The value of k is the maximum/minimum value of a function.
Since, in the above equation the value of a is negative; so the parabola opens down.
Thus, the parabola has a maximum value of
The parabola opens down. This means the graph is increasing from
Hence, the maximum value of the function is
Chapter 3 Solutions
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