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Parent Functions

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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Parent Functions

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  1. Parent Functions

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

  3. Constant Function Equation: f(x) = 2 Calculator Notation: y1 = 2 Domain: all real numbers Range: {2}

  4. Linear Function Equation: f(x) = x Calculator Notation: y1 = x Domain: all real numbers Range: all real numbers

  5. Quadratic Function Equation: f(x) = x2 Calculator Notation: y1 = x2 Domain: all real numbers Range: y > 0

  6. Cubic Function Equation: f(x) = x3 Calculator Notation: y1 = x^3 Domain: all real numbers Range: all real numbers

  7. Absolute Value Function Equation: Calculator Notation: y1 = abs(x) Domain: all real numbers Range: y > 0

  8. Square Root Function Equation: Calculator Notation: Domain: x > 0 Range: y > 0

  9. Exponential Function Equation: f(x) = 2x Calculator Notation: y1 = 2^x Domain: all real numbers Range: y > 0

  10. Logarithmic Function Equation: f(x) = log(x) Calculator Notation: y1 = log(x) Domain: x > 0 Range: all real numbers

  11. Rational Function Equation: Calculator Notation: y1 = 1/x Domain: x < 0 and x > 0 Range: y < 0 and y > 0

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