FUNCTION OF A REAL VARIABLE

FUNCTION OF A REAL VARIABLE

CONTENT

INTRODUCTION     |   FUNCTION OF A REAL VARIABLE   |   TYPES OF FUNCTIONS   |   BASIC FUNCTIONS   |   LIMIT OF FUNCTIONS OF REAL VARIABLES

A real-valued function of a real variable is a function that takes as input a real number, commonly represented by the variable x, for producing another real number, the value of the function, commonly denoted f(x).

For instance, y = f(x)

Y – dependent variable

X – independent variable

Domain and range of function of real variabe f: x = y is a mapping that shows variable between x and y

(x1, x2, x3,) dx (y1, y2, y3) dy

   The implicity domain is the set of all real numbers for which the given equation is defined domain as one that is given along with the function.

    For example, the function given by f(x) = ½, x=4, 4 < x>5 is the explicity donaim is given by has a set of all real no at its domain except at the pt x =  2.