FSC(Second Year) Math Definitions

Trigonometric Functions We denote and define trigonometric functions as follows. Function Domain Range Y=Sinx R -1  ≤ Y ≤  1 Y=Cosx R -1 ≤  Y ≤  1 Y=Tanx {x: x ∈ R and x ≠(2n+1) } R Y=Cotx {x: x ∈ R and x ≠n } R Y=Secx {x: x∈ R and x≠(2n+1) } y ≥1,  y ≤  -1 Y=Cosecx …

   There are following Algebraic Functions.(1) Polynomial Function (2) Linear Function  (3) Identity Function  (4) Constant function  (5) Rational function   (1) Polynomial Function A function say P of the form P(x) = an xn+an-1 xn-1+an-2 xn-2+an-3 xn-3+. . . + a2 x2+ a1 x+a0 for all where the coefficient an, an-1,  an-2, . . . , a2, a1, a0 are real numbers and the exponents are non-negative integers, is called a polynomial …

In this post we highlight the point that which graph is function and not a function.  If a vertical line intersects a graph in one point, it is the graph of a function. If a vertical line intersects a graph in more than one point, it is not the graph of a function.   READ MORE DEFINITIONS CLICK HERE

In this post we define inverse function and also provide an example to clear the concept of it. The inverse function of f denoted by f-1 is a function from Y onto X and is defined by x= f–1(y)  for all x in y if and only if as y=f(x) , for all x The set X of all possible input values is …

In this post, we find the domain and range of a function with the help of different examples. Example: 1 Find the domain and range  of x2. Solution.  Domain: Set of all real numbers Range:    Set of all non –negative real numbers. Example: 2 Find the domain and range  of    . Solution.  Domain: Set of all real numbers except -2 and …

Brief Concept Euler(1707-1783)  invented a symbolic way to write the statements “ y is function of x” as y=f(x) which is read as “ y is equal to f of x” .  The variable x is called independent variable  and  the variable y is called the  dependent variable. Definition  (function) A function f from a set X to a set Y is a rule or a correspondence …