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Unit 1 Mind Map By: Gurnaib Virk, How to find Inverses Since each…

- - - - Interval Notation
        A way to represent the domain/range or solutions that are written as inequalities or number line solutions
        How to use
        Open intervals: For open intervals, there are (x,y) brackets, and an open circle, along with < and >. For example: a<x<b These are used to represent the coordinates of x and y are not within the domain and range.
        Closed intervals: We use [x,y] brackets for closed intervals, a filled in circle, as well as ≤ and ≥. For example, a≤ x≤ b. These are used to represent that the coordinates of x and y are within the domain and range.
    - - Function Machine:
        DEFINITION: A function machine is a way of writing rules of a function using flow diagrams.
      - Mapping:
        DEFINITION: Mapping is a way to show how each element of a given set, the domain, is associated with a second set, the range.
      - Table of Values:
        DEFINITION: A set of ordered pairs which is typically found from substituting the x and y values from an equation.
      - A graph:
        DEFINITION: The graphical representation of the relationship between two variables.
      - An equation
        DEFINITION: An equation is a statement of equality between variables and numbers.
- - - - A graph of a circle and an ellipse
  - - - How to parametrize a line segment
        To parametrize a line segment, you need the two endpoints of the line. Firstly, you will assign (x1,y1) to T=0 and (x2,y2) to T=1. Then using the general formula: x(t)=aT+B and y(t)=cT+D, you can substitute the T=0 value to the D term. Then, substitute T=1 into the B term, and solve for a and c. Although you can use other T-values, it would be simpler to only use numbers as small as 0 and 1.