Prove that the constant function f (x)= k, where k is a constant, is continuous

Prove that the identity function f(x) = x is continous

If F(x) = k where 'k' is constant then Delta^2f(x)=?

Prove that a polynomial function f is continuous

If f(x)=C, wherr 'C' is constant then Delta f(x) = ?

Prove that the function f : R rarr R, f(x)=5x^3-8 is bijective.

Magnitude of force F experienced by a certain object moving with speed v is given by F = Kv^2 where K is a constant. Find the dimensions of K.

Find the value of the k if the function f(x)={(kx^2, x ge 1),(4, x<1):} is continuous at x =1

For what value of k, the function f(x) = kx^3 +5 is decreasing?