Question

cubic & cube root functions unit online pr
complete this assessment to review what you’ve learned. it w
what is the domain of the function $f(x) = x^3 - 10$? (1 point)
\\(\circ (-\infty, -10)\\)
\\(\circ (-\infty, 10)\\)
\\(\circ (-10, 10)\\)
\\(\circ (-\infty, \infty)\\)

Explanation:

Step1: Recall domain of cubic functions

A cubic function is of the form \( f(x)=ax^3 + bx^2+cx + d \), where \( a
eq0 \). For polynomial functions (including cubic functions), there are no restrictions on the input \( x \) (no division by zero, no square roots of negative numbers, etc.). So any real number can be plugged into \( x \).

Step2: Analyze \( f(x)=x^3 - 10 \)

The function \( f(x)=x^3 - 10 \) is a cubic polynomial. Since polynomial functions are defined for all real numbers, the domain is all real numbers, which is represented in interval notation as \( (-\infty,\infty) \).

Answer:

\( (-\infty,\infty) \) (the last option)