Chapter 14.3, Problem 64AYU

$f\left(x\right)=-3x^3+7$

To determine

To find: The numbers at which $f$ is continuous.

Answer to Problem 64AYU

$-\infty <x<\infty$

Explanation of Solution

Given:

$f\left(x\right)=-3x^3+7$

Calculation:

Since $f\left(x\right)=-3x^3+7$ is a polynomial function of degree 3, it is continuous at all real numbers between $-\infty$ and $+\infty$.