Harold’s Parent Functions “Cheat Sheet” 20 September 2016 Function Parent Graph Characteristics Name Function Algebra Domain: (∞, ∞) Range: [c, c] Inverse Function: Undefined (asymptote) Constant Restrictions: c is a real number Odd/Even: Even General Form: Domain: (∞, ∞) Range: (∞, ∞) Inverse Function: Linear Restrictions: m ≠ 0 or Odd/Even: Odd Identity General Forms: Domain: (∞, ∞) Range: [0, ∞) Quadratic Inverse Function: or Restrictions: None Square Odd/Even: Even General Form: Domain: [0, ∞) Range: [0, ∞) Inverse Function: Restrictions: Odd/Even: Neither Square Root General Form:
Harold’s Parent Functions “Cheat Sheet” 20 September 2016 Function Name Parent Function Graph Characteristics Algebra Constant Domain: (∞, ∞) Range: [c, c] Inverse Function: Undefined (asymptote) Restrictions: c is a real number Odd/Even: Even General Form: Linear or Identity Domain: (∞, ∞) Range: (∞, ∞) Inverse Function: Restrictions: m ≠ 0 Odd/Even: Odd General Forms: Quadratic or Square Domain: (∞, ∞) Range: [0, ∞) Inverse Function: Restrictions: None Odd/Even: Even General Form: Square Root Domain: [0, ∞) Range: [0, ∞) Inverse Function: Restrictions: Odd/Even: Neither General Form:
Harolds_Parent_Functions_Cheat_Sheet_2016.docx