Pre-Cal 12 Basic Functions

Linear or Identity Function : Equation: y=xDomain: (-∞,∞)Range: (-∞,∞)Continuous?: YesBounded? NoIncreasing on: (-∞,∞)Decreasing on: NoneLocal Extrema: NoneAbsolute Extrema: NoneHorizontal Asymptotes: NoneVertical Asymptotes: NoneLeft End Behavior: y→-∞ as x→-∞Right End Behavior: y→∞ as x→∞Symmetry: Odd

Absolute Value : Equation: y=|x|Domain: (-∞,∞)Range: [0,∞)Continuous?: YesBounded?: BelowIncreasing on: [0,∞)Decreasing on: (-∞,0]Local Extrema: NoneAbsolute Extrema: Min @ (0,0)Horizontal Asymptotes: NoneVertical Asymptotes: NoneLeft End Behavior: y→∞ as x→-∞Right End Behavior: y→∞ as x→∞Symmetry: Even

Logistic : Equation: y=1/1+e^-xDomain: (-∞,∞)Range: (0,1)Continuous?: YesBounded?: Above & BelowIncreasing on: (-∞,∞)Decreasing on: NoneLocal Extrema: NoneAbsolute Extrema: NoneHorizontal Asymptotes: y=0, y=1Vertical Asymptotes: NoneLeft End Behavior: y→0 as x→-∞Right End Behavior: y→1 as x→∞Symmetry: Neither

Exponential : Equation: y=e^x (or y=2^x or y=3^x, etc.)Domain: (-∞,∞)Range: (0,∞)Continuous?: YesBounded?: BelowIncreasing on: (-∞,∞)Decreasing on: NoneLocal Extrema: NoneAbsolute Extrema: NoneHorizontal Asymptotes: y=0Vertical Asymptotes: NoneLeft End Behavior: y→0 as x→-∞Right End Behavior: y→∞ as x→∞Symmetry: Neither