Home
Class 12
MATHS
Let f(x) = {{:(x + 2, -1 le x lt 0),(1, ...

Let `f(x) = {{:(x + 2, -1 le x lt 0),(1, x = 0),((x)/(2), 0 lt x le 1):}`
then n [-1, 1], this function has

A

a minimum

B

a maximum

C

either a maximum or a minimum

D

neither a maximum nor a minimum

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the complete set of values of lambda , for which the function f(x) = {{:(x + 1, x lt 1),(lambda,x = 1),(x^(2) - x + 3,x gt 1):} is strictly increasing at x = 1.

Let f(x) = {{:(1+|x|, x lt -1),([x],x ge -1):} where [.] denote the greatest integer function . Then find the value of f{f(-2.3)}

The relation f is defined by f (x) = {(x^2, 0 le x le 3)/(3x, 3 le x le 10) The relation g is defined by g (x) = {(x^2,0 le x le 2)/(3x, 2 le x le 10) show that f is a function and g is not a function

The function f (x) = {{:( 2x ^(2) - 1 "," , if 1 le x le 4), (151-30x"," ,if 4 lt x le 5):} is not suitable to apply Rolle's theorem since