Question

Range of F(x)=11•(1/3)x

Answer 1

Explanation:

Correct option is

A

[0,1]

Given :

f(x)=

(x−1)(3−x)

​

=

−x

2

+4x−3

​

=

−x

2

+4x−4+1

​

f(x)=

1−(x−2)

2

​

maximum value at f(x) will be '1'

when (x−2)=0

so, f

max

​

=1

minimum when (x−2)

2

=1

x−2=±1

x=3 or x=1

so, minimum =

1−1

​

=0

so Range = [0,1]→ option 'A'