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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: all real numbers Range: {2}. Linear Function. Equation: f(x) = x Calculator Notation: y 1 = x

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Presentation Transcript
learning goal

Learning Goal

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

constant function
Constant Function

Equation: f(x) = 2

Calculator Notation: y1 = 2

Domain: all real numbers

Range: {2}

linear function
Linear Function

Equation: f(x) = x

Calculator Notation: y1 = x

Domain: all real numbers

Range: all real numbers

quadratic function
Quadratic Function

Equation: f(x) = x2

Calculator Notation: y1 = x2

Domain: all real numbers

Range: y > 0

cubic function
Cubic Function

Equation: f(x) = x3

Calculator Notation: y1 = x^3

Domain: all real numbers

Range: all real numbers

absolute value function
Absolute Value Function

Equation:

Calculator Notation: y1 = abs(x)

Domain: all real numbers

Range: y > 0

square root function
Square Root Function

Equation:

Calculator Notation:

Domain: x > 0

Range: y > 0

exponential function
Exponential Function

Equation: f(x) = 2x

Calculator Notation: y1 = 2^x

Domain: all real numbers

Range: y > 0

logarithmic function
Logarithmic Function

Equation: f(x) = log(x)

Calculator Notation: y1 = log(x)

Domain: x > 0

Range: all real numbers

rational function
Rational Function

Equation:

Calculator Notation: y1 = 1/x

Domain: x < 0 and x > 0

Range: y < 0 and y > 0