Answer
$(-\infty,\infty)$
Work Step by Step
We are given the function:
$p(x)=4x^3-3x^2+1$
$p(x)$ is a polynomial function, therefore according to Theorem 2.10 a), the function is continuous for all $x$. The interval on which the function is continuous is:
$(-\infty,\infty)$
