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Function Parent Graph Characteristics Name Function

Copyright 2011-2019 by Harold Toomey, WyzAnt Tutor 1 Harold s Parent functions Cheat Sheet 6 November 2019 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: + =0 Linear or Identity ( )= Domain: ( , ) Range: ( , ) Inverse Function : Same as Parent Restrictions: m 0 Odd/Even: Odd General Forms: + + =0 = + 0= ( 0) Quadratic or Square ( )= 2 Domain: ( , ) Range: [0, ) Inverse Function : 1 ( )= Restrictions: None Odd/Even: Even General Form: 2+ + + =0 Square Root ( )= Domain: [0, ) Range: [0, ) Inverse Function : 1 ( )= x2 Restrictions: 0 Odd/Even: Neither General Form: ( )= ( )+ Function Name Parent Function Graph Characteristics Copyright 2011-2019 by Harold A.]]]

Inverse Function: −1 ( T)= O ℎ−1 T Restrictions: Asymptotes at T=0, U=0 Odd/Even: Odd General Form: ( T)= O ℎ ( ( T−ℎ))+ G Hyperbolic Secant 1 ( T)=sech T = K Oℎ T Domain: (−∞, ∞) Range: (0, 1] Inverse Function: −1 ( T)= O ℎ−1 T Restrictions: Asymptote at U=0 Odd/Even: Even

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