Parent Functions. Learning Goal I will be able to recognize parent functions, graphs, and their characteristics.

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Presentation transcript:

Parent Functions

Learning Goal I will be able to recognize parent functions, graphs, and their characteristics.

Constant Function Equation: f(x) = 2 Calculator Notation: y 1 = 2 Domain: (- ∞, ∞ ) Range: {2}

Equation: f(x) = x Calculator Notation: y 1 = x Domain: (- ∞, ∞ ) Range: (- ∞, ∞ ) Linear Function

Equation: f(x) = x 2 Calculator Notation: y 1 = x 2 Domain: (- ∞, ∞ ) Range: [ 0, ∞ ) Quadratic Function

Equation: Calculator Notation: y 1 = abs(x) Domain: (- ∞, ∞ ) Range: [ 0, ∞ ) Absolute Value Function

Equation: Calculator Notation: Domain: [ 0, ∞ ) Range: [ 0, ∞ ) Square Root Function

Equation: f(x) = 2 x Calculator Notation: y 1 = 2^x Domain: (- ∞, ∞ ) Range: ( 0, ∞ ) Exponential Function

Equation: f(x) = log(x) Calculator Notation: y 1 = log(x) Domain: [ 0, ∞ ) Range: (- ∞, ∞ ) Logarithmic Function

Equation: Calculator Notation: y 1 = 1/x Domain: (- ∞, 0 ) U ( 0, ∞ ) Range: (- ∞, 0 ) U ( 0, ∞ ) Rational Function