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Lesson 1.6: Basic Functions and Function Transformations

Lesson 1.6: Basic Functions and Function Transformations. Graphs of Common Functions. Seven functions that are frequently encountered in algebra are: It is essential to know the characteristics of the graphs of these functions. These are called “parent functions”.

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Lesson 1.6: Basic Functions and Function Transformations

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  1. Lesson 1.6: Basic Functions and Function Transformations

  2. Graphs of Common Functions Seven functions that are frequently encountered in algebra are: It is essential to know the characteristics of the graphs of these functions. These are called “parent functions”

  3. Graphs of Common Functions (continued) is known as the constant function. The domain of this function is: The range of this function is: The function is constant on C This function is even.

  4. Graphs of Common Functions (continued) is known as the identity function. The domain of this function is: The range of this function is: The function is increasing on This function is odd.

  5. Graphs of Common Functions (continued) is the absolute value function. The domain of this function is: The range of this function is: The function is decreasing on and increasing on This function is even.

  6. Graphs of Common Functions (continued) is the standard quadratic function. The domain of this function is: The range of this function is: The function is decreasing on and increasing on This function is even.

  7. Graphs of Common Functions is the square root function. The domain of this function is: The range of this function is: The function is increasing on This function is neither even nor odd.

  8. Graphs of Common Functions (continued) is the standard cubic function. The domain of this function is: The range of this function is: The function is increasing on This function is odd.

  9. Graphs of Common Functions (continued) is the cube root function. The domain of this function is: The range of this function is: The function is increasing on This function is odd.

  10. Graphs of Common Functions (continued)

  11. Vertical Shifts

  12. Horizontal Shifts

  13. Vertically Stretching and Shrinking Graphs

  14. Horizontally Stretching and Shrinking Graphs

  15. Ex 1: Ex 2: Ex 3: Ex 4: Ex 5:

  16. Ex 6:

  17. HW: • pg 226 1-13 eoo, 45-117 eoo • WebWork

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