Warm-up Name the domain and range for the following: 1. (4, 5), (-2, 3), (6, 10), (12, -4), (7, 9) Write an equation for the following: 2. 3. This football season Coach Ironside was bombarded with injuries with 2 per week. If he started off the season with 96 healthy athletes, write a linear equation to show the decline of his active roster.

Homework Questions… Daily Check!!

How do we find the domain and range of a function? Coord Algebra Support UNIT QUESTION: How do we graph functions, and what can be done to change the way they look? Standard: Today’s Question: How do we find the domain and range of a function? Standard: MM1A1d

Domain & Range Discrete (points) graphs – you just LIST the domain and range Continuous (lines or curves) graphs – you use interval notation

Domain and Range: Points Find the domain and range: {(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)} domain:  {2, 3, 4, 6} range:  {–3, –1, 3, 6}

Interval Notation Uses: Are used when there is a open dot or the number is NOT included on the graph. Are used when there is a closed dot or when the number is included on the graph.

Domain and Range: Graph

Domain and Range: Graph

Domain and Range: Graph Special case: When there is an open circle and closed circle on the same number – go with the closed circle.

Domain and Range: Graph

Domain and Range: Graph ** When there are no dots – assume there are arrows and the graphs continues in that direction

You try!!

Intercepts x-intercept – the point at which the line intersects the x-axis at (x, 0) y-intercept – the point at which the line intersects the y-axis at (0, y)

ZEROS are the same thing as the X-INTERCEPTS.

Name the zeros. (-4, 0) and (3, 0)

Name the Y-INTERCEPT. (0, -4)

Increasing & Decreasing MOVE LEFT TO RIGHT If your finger is going up, the graph is INCREASING If your finger is going down, the graph is DECREASING If your finger goes neither up or down…then the graph is CONSTANT

Increasing and Decreasing To find where the graph is increasing and decreasing trace the graph with your FINGER from left to right.

Increasing, Decreasing, or Constant?

Characteristics Domain: Range: Intercepts: Increasing or Decreasing? x-int: y-int: Increasing or Decreasing?

Classwork – 6 problems