CDS || Maths || Calculus || Functions_Quiz

A constant function is a type of

Let g be the greatest integer function Then the function  is discontinuous at

Consider the function

Which one of the following is correct in respect of the function?

If the function  is continuous at each point in its domain, then what is the value of f(0)?

If f(x) = 3^{1 + x}, the f(x) f(y) f(z) is equal to

For r > 0, f(r) is the ratio of perimeter to area of a circle of radius r. Then f(1) + f(2) is equal to

If  then what is f^-1 (x) equal to?

The domain of the function  is

Find the value of k for which x = 1 is a roots of the equations x³ + kx + 3 = 0.

Let f:R→R:f(x)=