Concept explainers
To calculate: The minimum value and maximum value of the function. Also, describe where the function is increasing and decreasing.
Answer to Problem 58E
The minimum value of the function is
Explanation of Solution
Given information:
The function:
Calculation:
The given function is
The given function is already in the vertex form
Rewrite the function as:
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 positive; so the parabola opens up.
Thus, the parabola has a minimum value of
The parabola opens up. This means the graph is decreasing from
Hence, the minimum value of the function is
Chapter 3 Solutions
BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015
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