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Parent Functions

Parent Functions. AII.6. Functions. At this point you should be very familiar with linear and absolute value functions. You should be able Recognize the equation of these functions Recognize the graph of these functions Graph these functions given the equation

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Parent Functions

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  1. Parent Functions AII.6

  2. Functions • At this point you should be very familiar with linear and absolute value functions. • You should be able • Recognize the equation of these functions • Recognize the graph of these functions • Graph these functions given the equation • Write the equation of these functions given the graph • Today you will learn more functions …

  3. Polynomial Functions • Polynomial functions are functions created by adding or subtracting terms with different powers of x. • The degree of the function is the highest exponent on x. • There are patterns related to the curves and end behaviors of polynomial functions. More on that in a later lesson.

  4. Polynomial Functions - Linear • Parent Function: • Standard Form: • Parent Graph:

  5. Polynomial Functions - Quadratic • Parent Function: • Standard Form: • Parent Graph:

  6. Polynomial Functions – Cubic • Parent Function: • Standard Form: • Parent Graph: Alternate Shape:

  7. Polynomial Functions - Quartic • Parent Function: • Standard Form: +e • Parent Graph: Alternate Shape:

  8. Polynomial Functions - Quintic • Parent Function: • Standard Form: • Parent Graph: Alternate Shape:

  9. Polynomial Functions - Sextic • Parent Function: • Standard Form: • Parent Graph: Alternate Shape:

  10. Non-Polynomial Functions

  11. Absolute Value • Parent Function: • Standard Form: • Parent Graph:

  12. Square Root • Parent Function: or • Standard Form: • Parent Graph:

  13. Cubed Root • Parent Function: or • Standard Form: • Parent Graph:

  14. Exponential • Parent Function: • Standard Form: • Parent Graph:

  15. Logarithmic • Parent Function: • Standard Form: • Parent Graph:

  16. Rational • Parent Function: or • Standard Form: • Parent Graph:

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