Question

graphing the cubic function practice
complete this assessment to review what you’ve learned. it will no
which of the following is the domain of the function $f(x) = x^3$
option #1: $(-infty, infty)$
option #2: $(-infty, 1)$
option #3: $(-1, infty)$
(1 point)

Explanation:

Step1: Recall domain definition

The domain of a function is the set of all possible input values (x - values) for which the function is defined.

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

For the function \( f(x)=x^3 \), we can cube any real number \( x \) (positive, negative, zero, fractions, decimals, etc.). There are no restrictions like division by zero or square roots of negative numbers here. So \( x \) can be any real number.

Step3: Match with options

The set of all real numbers is represented as \( (-\infty, \infty) \), which is Option #1.

Answer:

Option #1: \( (-\infty, \infty) \)