Range
Range of is collection of all output corresponding to each real number in domain.
Rule for finding range
First of all find domain of
(i) If domain finite number of points Range set of corresponding value.
(ii) If domain . Or {finite number} then express in term of . For this find for to be defined.
(iii) If domain a finite intervals, then use concept of monotonicity to find the range of function.
Some time domain of function belong to infinite intervals & from given expression can't express in term of
then we need to check given function is increasing or decreasing .
for range in given domain.
,Illustration: Find range of
, Illustration: The range of the function is
(a) (b) (c) (d) None
Range of is collection of all output corresponding to each real number in domain.
Rule for finding range
First of all find domain of
(i) If domain finite number of points Range set of corresponding value.
(ii) If domain . Or {finite number} then express in term of . For this find for to be defined.
(iii) If domain a finite intervals, then use concept of monotonicity to find the range of function.
Some time domain of function belong to infinite intervals & from given expression can't express in term of
then we need to check given function is increasing or decreasing .
for range in given domain.
,Illustration: Find range of
, Illustration: The range of the function is
(a) (b) (c) (d) None
