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Concept explainers
To check: whether the given function has maximum or minimum value, and find the value. Also, state the domain and range of the function.
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Answer to Problem 61SR
Maximum value
Explanation of Solution
Given:
The given expression is
Calculation:
Consider the following expression,
For the above function,
As, the graph opens downwards the function has a maximum value.
The coordinate of the vertex will be,
So, the y- coordinate will be,
Plug the value for x in the above coordinate,
So, the maximum value of the function is
The domain of the above function is all real numbers.
The range is all the real numbers less than or equal to
Or,
Hence, the given function has maximum value and the value is
And the domain belongs to R, and the range is
Chapter 4 Solutions
Glencoe Algebra 2 Student Edition C2014
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