Find the Domain and Range f(x)=|x-5|+10

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 absolute value expression has a V shape. The range of a positive absolute value expression starts at its vertex and extends to infinity.

Interval Notation:

Set-Builder Notation:

Determine the domain and range.

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

Range: ${\displaystyle [10,\infty ),\left\{y\right|y\ge 10\}}$