What Is the Parent Function

A parent function is the simplest function that still satisfies the definition of a certain type of function. For example, when we think of the linear functions which make up a family of functions, the parent function would be y = x. This is the simplest linear function.

What are the characteristics of a parent function?

Linear Parent Function Characteristics Key common points of linear parent functions include the fact that the: Equation is y = x. Domain and range are real numbers. Slope, or rate of change, is constant.

What are the 7 parent functions?

• Identity Function. Equation: f(x) = x. Domain: ℝ …
• Squaring Function. Equation: f(x) = x² …
• Cubing Function. Equation: f(x) = x³ …
• Square Root Function. Equation: f(x) = √x. …
• Cube Root Function. Equation: f(x) = ∛x. …
• Absolute Value Function. Equation: f(x) = lxl. …
• Greatest Integer Function. Equation: f(x) = [[x]]