17, 13, 9, 5, …1. Write the rule for the above sequence.

2. What is the 12th term?

3. -19 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) graphsDiscrete (points) graphs

– – you just LIST the domain and you just LIST the domain and rangerange

Continuous (lines or curves) graphsContinuous (lines or curves) graphs

– – you use interval notationyou use interval notation

Domain & RangeDomain & 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 Interval Notation Uses: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

:

:

D

R

[ 3,2]

[ 5,2]

Domain and Range: Graph

:

:

D

R

[ 3,3)

( 1,2]

Domain and Range: Graph

:

:

D

R

[ 3,3)

[ 4, 2]

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

Domain and Range: Graph

:

:

D

R

[ 4, 2]

[ 1,4]

Domain and Range: Graph

:

:

D

R

( -∞,∞)( , 4]

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

You try!!You try!!

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

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

InterceptsIntercepts

ZEROSZEROS are the same thing as are the same thing as thetheX-INTERCEPTSX-INTERCEPTS..

Name the zeros.Name the zeros.

(-4, 0)and

(3, 0)

Name the Y-INTERCEPT.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 DecreasingIncreasing and Decreasing

To find where the graph is increasing and decreasing trace the graph with

your FINGER from left to right.

Increasing, Decreasing, or Increasing, Decreasing, or Constant?Constant?

1.1. Domain:Domain:

2.2. Range:Range:

3.3. Intercepts:Intercepts: x-int:x-int:

y-int:y-int:

4.4. Increasing or Increasing or Decreasing?Decreasing?

CharacteristicCharacteristicss