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1.2 Functions and Graphs

Learn about functions, graphs, domain, range, Euler's function, even and odd functions, composite functions, and more in this comprehensive guide by Ms. Brewer. Practice problems included.

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1.2 Functions and Graphs

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  1. 1.2 Functions and Graphs Date Calculus AB Ms. Brewer

  2. Vocab/Formulas • Function: a rule that assigns a unique element in R to each element in D. • One x value for every y value • Function notation: y = f(x) • Domain: inputs, independent x-value • Range: outputs, dependent y-value Euler’s “invention”

  3. Function vs. Not a Function

  4. Domain and Range • Pg. 13 a < x ≤ b (a , b] b a

  5. Example 2/3: Find domain and range. a. b. Domain Range

  6. Example 2/3: Find domain and range. c. d. Domain Range

  7. Vocab/Formulas • Even Function: symmetric about y – axis • No sign change in range • Odd Function: symmetric about the origin • Signs change in range

  8. Example 4: Determine whether the function is even or odd (whole equation didn’t change)

  9. Example 5: Graph the piecewise equation.

  10. Absolute Value

  11. Example 8: Find the following composite functions

  12. Assignment Pg. 19 3-51(by 3’s), 22, 53 Don’t forget to read the examples we didn’t cover!

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