Home
Class 11
MATHS
Suppose that f(1/2)=1 and f is continuou...

Suppose that `f(1/2)=1` and f is continuous on `[0,1]` assuming only rational value in the entire interval. The number of such function is A. Infinite ,B.2, c.4, D.1

Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x) is a continuous function and attains only rational values and f(0)=3, then roots of equation f(1)x^(2)+f(3)x+f(5)=0 as

Suppose that f(x) is continuous in [0, 1] and f(0) = 0, f(1) = 0 . Prove f(c) = 1 - 2c^(2) for some c in (0, 1)

Let f(x) be a continuous function defined on [1, 3] . If f(x) takes only rational values for all x and f(2)=10 , then f(2.5)=

If f(x) is a continuous function such that its value AA x in R is a rational number and f(1)+f(2)=6 , then the value of f(3) is equal to

In the interval (-1, 1), the function f(x) = x^(2) - x + 4 is :

Let f(x) be a continuous function defined for 1<=x<=3. If f(x) takes rational values for all x and f(2)=10 then the value of f(1.5) is :

A function f(x) is, continuous in the closed interval [0,1] and differentiable in the open interval [0,1] prove that f'(x_(1))=f(1) -f(0), 0 lt x_(1) lt 1