Square Root Parent Function Attributes

Square Root Parent Function Attributes Domain: R (all real numbers); (− ∞, ∞) Range: [0, ∞) X Intercept: x = 0 Y Intercept: y = 0 Asymptote: None Maximum: None; Approaching ∞ Minimum: 0 Rational Parent Function Attributes Domain: [0, ∞) Range: [0, ∞) X Intercept: x = 0 Y Intercept: y = 0 Asymptote: None Maximum: None, the graph approaches ∞ Minimum: 0 Cubic Parent Function Attributes Domain: (− ∞, 0)∪(0, ∞) Range: (− ∞, 0)∪(0, ∞) X Intercept: None Y Intercept: None Asymptote: Vertical Asymptote at x = 0 ; Horizontal Asymptote at y = 0 Maximum: None; approaches ∞ Minimum: None; approaches ­ ∞ Cube Root Parent Function Attributes Domain: R (all real numbers); (− ∞, ∞) Range: R (all real numbers); (− ∞, ∞) X Intercept: x = 0 Y Intercept: y = 0 Asymptote: None Maximum: None; approaching ∞ Minimum: None; approaching ­ ∞ Exponential Parent Function * There are many different exponential parent functions, base 2 is most common* Attributes Domain: R (all real numbers); (− ∞, ∞) Range: R (all real numbers); (− ∞, ∞) X Intercept: x = 0 Y Intercept: y = 0 Asymptote: None Maximum: None; Approaching ∞ Minimum: None; Approaching ­ ∞ Absolute Value Parent Function Attributes Domain: R (all real numbers); (− ∞, ∞) Range: (0, ∞) X Intercept: None Y Intercept: y = 1 Asymptote: Horizontal Asymptote at y = 0 Maximum: None; Approaching ∞ Minimum: None; Approaching 0