Question:
f(x) = [x(x – 3)]2 is increasing in
f(x) = [x(x – 3)]2 is increasing in
Options:
- (1, 3)
- (0, 3/2) U (3, ∞)
- (0, ∞)
- (-∞, 0)
- (1, 3)
- (0, 3/2) U (3, ∞)
- (0, ∞)
- (-∞, 0)
Correct Answer: b)
Explanation:
‘
Gi√en, f(x) = x(x – 3)*
== 2 x(x IRE + (3) 42)
‘ = f(x) = 2 x(x – x +x – 3
‘ =f(x) =2 x(x – 3)2x – 3
hon a
‘ =f(x)=0 ‘
=x=0,z=23andx=3
‘ For increasing function f(x) > 0
‘ = (0,3) U (3,00) function is increasing. ‘
‘
Gi√en, f(x) = x(x – 3)*
== 2 x(x IRE + (3) 42)
‘ = f(x) = 2 x(x – x +x – 3
‘ =f(x) =2 x(x – 3)2x – 3
hon a
‘ =f(x)=0 ‘
=x=0,z=23andx=3
‘ For increasing function f(x) > 0
‘ = (0,3) U (3,00) function is increasing. ‘