To find: the minimum or maximum value of the function and describe domain and range of the function where the function is increasing or decreasing.
Answer to Problem 34E
The minimum value
Explanation of Solution
Given:
Concept used:
The maximum value and minimum value of the function can be derived from slope of the function which is first derivative when it is equal zero it makes the extreme or critical value where slope is
To check whether curve is Minima or maxima different again or take double differentiate if the value is greater than the point is minima and if the value come up to be less than
Mathematically:
Domain is input or
Calculation:
The maximum value and minimum value of the function can be derived from slope of the function which is first derivative when it is equal zero it makes the extreme or critical value where slope is
To check whether curve is minima or maxima different again or take double differentiate if the value is greater than the point is minima and if the value come up to be less than
Mathematically:
Here
The curve is open upward which is mean the point is minima and the minimum point is:
Therefore,
Domain of the function since it is independent the value can be whole real numbers.
Mathematically:
Range of the function can minimum value of square of any number is
Range is taken from its minimum value to maximum value:
Mathematically:
Hence, minimum value
Chapter 4 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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