graphing calculus functions


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Real Functions and their Graphs
(x) of x under f is called the value of 'f ' at x. Types of Function and their Graphs: Constant function, Identity function, Polynomial function, Modulus function, Square root function, Greatest integer function or Step..
Graph of Exponential Function
Graph of Exponential Function - For x R, the value of is uniquely defined. For x R, the value of is uniquely defined. of e to one place of decimal is 2.7. The approximate values of the function e x for some of the values of x are as follow..
Graph of Logarithmic Function
For x (0, ), the value of log x is uniquely defined.For x (0, ), the value of log x is uniquely defined. \ x g log x is a well-defined function from (0, ) to (- , ). The value of e to one place of decimal i..
Inverse functions
Inverse functions are sin - 1 x, cos - 1 x, tan - 1 x etc. The graph of these functions have been done in class X..
Constant function
A function f : A B Such that A, B R, is said to be a constant function if there exist K B such that f(x) = k. Domain = A Range = {k} The graph of this function is a line or line segment parallel to x-axis. Note that, if k>0, the graph B..
Functions Limits and Continuity
Functions Limits and Continuity - The concept of limits leads to define and describe continuity and derivative of the function. The continuity of a function has practical as well as theoretical importance. We plot graphs by taking the values generated in the ..
Functions Limits and Continuity
Introduction - The concept of limits leads to define and describe continuity and derivative of the function. The continuity of a function has practical as well as theoretical importance. We plot graphs by taking the values generated in the laboratory or collected in th..
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 are to be noted carefully with ..
Asymptotes
Any curve or straight line whose distance to a given curve tends to a given curve tends to zero is known as asymptote. An asymptote may or may not meet the curve. It acts as the boundary for the graph of a function and helps in graphing the function..
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