function must return a value


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Value of a Function
If 'f ' is a function and x is an element in the domain of f, then image f(x) of x under f is called the value of 'f ' at..
Average Value of a Function in an Interval
We can take the value of f at a (i.e., f(a)) as first estimate for average value of the function. Divide [a, b] into two equal parts such that then the second estimate of the average value of the function can be taken as second estimate of the avera..
Values of Trigonometric Functions
Values of Trigonometric Functions of 30 o , 45 o , 60 o and 90 o - Let OA be the revolving ray starting from A. Let OA take the new position OP so that Draw PM perpendicular to OX and produce it to Q. Draw O..
Absolute Maximum and Absolute Minimum Value of a Function
Let f (x) be a real valued function with its domain D. (i) f(x) is said to have absolute maximum value at x = a if f(a) f(x) for all x D. (ii) f(x) is said to have absolute minimum value at x = a if f(a) f(x) for all x D. The following points a..
Which of the following functions satisfies the mean value theorem?
Which of the following functions satisfies the mean value theorem? => f ( x ) = x 2 - 6 , x ∈ [7, 8] or f ( x ) = log x , x ∈ [-7, 8] or f ( x ) = [ x ], x ∈ [-7, 7] or f ( x ) = | x |, x ∈ [-8, 8]..
Periodic Functions
The trigonometric functions belong to a large class of functions called periodic functions in which there is a regular repetition of the values of the function over a certain interv..
Periodic Functions
The trigonometric functions belong to a large class of functions called periodic functions in which there is a regular repetition of the values of the function over a certain interva..
State functions
A property whose values depend on only the state of the system and not on the path by which the change from initial to final state is brought about is called state function. The change in the value of the state functions depends only upon the initial and fin..
Circular Functions
The circular functions are functions of an angle. They are important in the study of triangles and modeling periodic phenomena, among many other applications. Trigonometric functions are commonly defined as ratios of two sides of a right triangle containing the a..
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