Question

Which statement about polynomial functions is correct?

Options

• Every polynomial function is continuous only at non-integers.

• Every polynomial function is continuous for all real numbers.

• Every polynomial function is not defined at \[x=0\].

• Every polynomial function is discontinuous at \[x=0\].

Answer 1

Polynomial functions are continuous at all real numbers. Thus \[f(x)=x^3+x^2-1\] is continuous for every \[x\in\mathbb{R}\].