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Function Notation

Function Notation. What is it all about?. Function Notation. f(x) is used as a “fancy” notation for functions. Example 1: y = 2x + 3 same as … f(x) = 2x + 3. Function Notation. f(x) is used as a “fancy” notation for functions. Example 2: y = -3x + 1 same as …. g(x) = -3x + 1.

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Function Notation

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  1. Function Notation What is it all about?

  2. Function Notation f(x) is used as a “fancy” notation for functions. Example 1: y = 2x + 3 same as …f(x) = 2x + 3

  3. Function Notation f(x) is used as a “fancy” notation for functions. Example 2: y = -3x + 1 same as …. g(x) = -3x + 1

  4. How to read function Notation? f(x) = 2x + 3 Read as ….. “f of x equals 2 times “x” plus 3”

  5. Function Notation g(x) = -2x – 1 Read as …. “g of x equals -2 times “x” minus 1”

  6. Function Notation Approach Why Function Notation? It allows for more flexibility! Example: Both functions have a unique rule that “depends” on the size of the radius (r ).

  7. Function Practice Example 1: f(x) = -2x + 4  Evaluate for x = 3 f(3) = -2(3) + 4  replace x with “3”. f(3) = -2  Our final result/answer

  8. Evaluate Function Notation Example 2: f(x) = -2x + 4  Evaluate for x = 5 f(5) = -2(5) + 4 = -6  replace x with “5”. f(5) = -6  Our final result/answer

  9. Evaluate Function Notation Example 3: For f(x) = -2x + 4  Evaluate for x = a f(a) = -2a + 4  replace x with “a” f(a) = -2a + 4  answer is an expression

  10. Real Life Examples Phone bill (t) = $0.05(t) + $14.95 Where t = time in minutes The amount you pay is based on how many minutes you talk.

  11. Real Life Example grade(t) = 10t + 60 Where t = the number of hours you study. Your grade is a function of the amount of time you study!

  12. Sample Problem You try a few examples: For f(x) = -2x + 4 Evaluate f(2) = ?

  13. Sample Problem For f(x) = -2x + 4 Evaluate f(-3) = ?

  14. Sample Problem For d(x) = -2x + 4 Evaluate d(4) = ?

  15. Sample Problem For z(x) = -2x + 4 Evaluate z( e ) = ?

  16. Conclusion You will have to practice more function notation examples! This is an important topic that you should develop a deep understanding of! So, let’s start practicing and understand the function notation!

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