Date Calculus AB Ms. Brewer

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

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”

Function vs. Not a Function

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

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

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

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

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

Example 5: Graph the piecewise equation.

Absolute Value

Example 8: Find the following composite functions

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