If f(x) = {{:(x^(3) (1 - x),x le 0),(x l...

If `f(x) = {{:(x^(3) (1 - x),x le 0),(x log_(e) x + 3x, x gt 0):}`, then which of the following is not true ?

A

f(x) has point maxima at x = 0

B

f(x) has point minima `x = e^(-4)`

C

f(x) has range R

D

None of these

Text Solution

Verified by Experts

The correct Answer is:

D

Promotional Banner

Promotional Banner

Recommended Questions

If f(x) = {{:(x^(3) (1 - x),x le 0),(x log(e) x + 3x, x gt 0):}, then ...
Text Solution
|
Discuss the continuity of the function = f(x)={(3-x", "x le 0),(x...
Text Solution
|
f(x){{:(2x "," if x lt 0 ),(0"," if 0 le x le 1),(4x "," if x gt 1 ):}
Text Solution
|
If 3f(x)-f((1)/(x))= log(e) x^(4) for x gt 0 ,then f(e^(x))=
Text Solution
|
If f(x) = x for x le 0 = 0 for x gt 0, then f(x) at x = 0 is
Text Solution
|
A function is defined as f(x) = {{:(e^(x)",",x le 0),(|x-1|",",x gt 0)...
Text Solution
|
If f(x ) = x "for" x le 0 =0 "for " x gt 0 then f(x) at x=...
Text Solution
|
If f(x) ={(|x|,",",x lt 0),(x,",",0 le x le 1),(1,",",x gt 1):} , the...
Text Solution
|
यदि 3f(x)-f(1/x) = loge x^4, x > 0 हो, तो f(e^x) का मान है
Text Solution
|