Notes about math, research, and more.

Announcements

  1. Final score replaces other scores
  2. Put thoughts down for partial credit

Material

Reminder of quiz material

  1. Graph of function
  2. Evaluate means plugin a value for x. Should get a number out
  3. Simplify means make of the form \(7X^2 + 2x + 3\)
    1. Dont have to simplify fractions

New materials

Domain and range

Domain: Set of possible input values to a function Range: set of possible output values to a function

  • Examples
    • May be determined by units
    • May be determined by formula
  • Notation/representations

    Inequality: \(5 < x \leq 10\) Setbuilder: \(\{ x \mid 5 < x \leq 10 \}\) Interval: \((5, 10]\) Graph: OPEN VS CLOSED DOTS

  • Examples:

    \(x^2\) \(\sqrt{x}\) \(\frac{1}{x}\) \(|x|\)

Piecewise functions

Notation \(f(x) = \begin{cases} formula 1 & condition \\ formula 2 & condition \\ \end{cases}\)

Examples:

  1. with [
  2. with (