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To calculate: The minimum value and maximum value of the function. Also, describe where the function is increasing and decreasing.
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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
Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015
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- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education
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