Home
Class 12
MATHS
IF f(x)=x,-1lexle1, then function f(x) i...

IF `f(x)=x,-1lexle1`, then function f(x) is

A

Increasing

B

Decreasing

C

Stationary

D

Discontinuous

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

For x in R-{1}, the function f(x) satisfies f(x)+2f((1)/(1-x))=x. Find f(2)

Statement 1: If f(x) is an odd function,then f'(x) is an even function.Statement 2: If f'(x) is an even function,then f(x) is an odd function.

If f(x) is an even function and f'(x) exist for all x then f'(1)+f'(-1) is

Let f:[0, 1] rarr [0, 1] be defined by f(x) = (1-x)/(1+x),0lexle1 and g:[0,1]rarr[0,1] be defined by g(x)=4x(1-x),0lexle1 Determine the functions fog and gof. Note that [0,1] stands for the set of all real members x that satisfy the condition 0lexle1 .

f(x)=abs([x]x) -1lexle2 , then f(x) is (where [ast] denotes greatest integer lex )

If f(x)=log((1+x)/(1-x)), then f(x) is (i) Even Function (ii) f(x_(1))-f(x_(2))=f(x_(1)+x_(2)) (iii) ((f(x_(1)))/(f(x_(2))))=f(x_(1)-x_(2)) (iv) Odd function

If f(x)=(-x|x|)/(1+x^3) in R then the inverse of the function f(x) is f^(-1)(x)=

Let f (x) = a ^ x ( a gt 0 ) be written as f ( x ) = f _ 1 (x ) + f _ 2 (x) , where f _ 1 ( x ) is an even function and f _ 2 (x) is an odd function. Then f _ 1 ( x + y ) + f _ 1 ( x - y ) equals :