Home
Class 12
MATHS
The function f defined by f(x)=(x+2)e^(-...

The function `f` defined by `f(x)=(x+2)e^(-x)` is

A

decreasing for all x

B

Decreasing in `(-infty,1)` and increasing in `(-1,infty)`

C

Increasing for all x

D

Decreasing in `(-1,infty)` and increasing in `(-infty,-1)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

The function f defined by f(x)=4x^(4)-2x+1 is increasing for

The function f :R to R defined by f (x) = e ^(x) is

The function defined by f(x) = {((x^(2)+e^(1/(2-x)))^(-1), ",",x != 2),(k, ",", x =2 ):} , is continuous from right at the point x = 2, then k is equal to

The function 'f' is defined by f(x) = 2x - 1 , if x gt 2, f(x) = k if x = 2 and x^(2) - 1 if x lt 2 is continuous, then the value of k is equal to

IF f :R -{2} to R is a function defined by f(x) =(x^(2)-4)/(x-2) , then its range is