Find the Domain and Range x+y^3=12

Subtract ${\displaystyle x}$ from both sides of the equation.

Take the cube root of both sides of the equation to eliminate the exponent on the left side.

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

Set-Builder Notation:

The range is the set of all valid ${\displaystyle y}$ values. Use the graph to find the range.

Interval Notation:

Set-Builder Notation:

Determine the domain and range.

Domain: ${\displaystyle (-\infty ,\infty ),\left\{x\right|x\in ℝ\}}$

Range: ${\displaystyle (-\infty ,\infty ),\left\{y\right|y\in ℝ\}}$