characteristics of a graph n.
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Characteristics of a graph. Finding Domain & Range Given:. Discrete graphs – you just LIST the domain and range (don’t repeat and list in order from least to greatest) Continuous graphs – use interval notation (least, greatest). Set Notation Uses:.

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finding domain range given
Finding Domain & Range Given:
  • Discrete graphs – you just LIST the domain and range (don’t repeat and list in order from least to greatest)
  • Continuous graphs – use interval notation (least, greatest)
set notation uses
Set Notation Uses:

Is used when there is a open dot or the number is NOT included on the graph.

Is used when there is a closed dot or when the number is included on the graph.

Is used when one number is excluded.

slide8

Domain and Range: Graph

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

slide9

Domain and Range: Graph

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

slide13

Domain and Range: Graph

All Real Numbers

slide15

Domain and Range: Graph

All Real Numbers

slide16

Increasing and Decreasing

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

x-values ONLY!

slide17

Increasing & Decreasing

MOVE LEFT TO RIGHT

  • If your finger goes UP, the graph is increasing.
  • If your finger goes DOWN, the graph is decreasing.
  • If your finger goes neither up or down…then the graph is CONSTANT.
slide18

Find the interval of decrease.

The x-values where the graph is going down.

Decreasing

slide19

Find the interval of increase

The x-values where the graph is going up.

Increasing

slide20

Interval of increase:

Interval of decrease:

slide21

Interval of increase:

Interval of decrease:

interval notation

a

b

x

a

b

x

a

b

x

a

b

x

a

x

a

x

Interval Notation