17, 13, 9, 5, … 1.Write the rule for the above sequence. 2.What is the 12 th term? is what term in the sequence?

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

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

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

Interval Notation Uses: Are used when there is an 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

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

Domain and Range: Graph

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

You try!!

 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) Intercepts

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?

1. Domain: 2. Range: 3. Intercepts: x-int: x-int: y-int: y-int: 4. Increasing or Decreasing? Characteristics