1. Patterns and Nonlinear Functions
Lesson 25

2. Objective
HSA-REI.10(3): Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve.

3. Example; Patterns & Nonlinear Functions
The table shows the number of new branches in each figure of the pattern. 1 2 3
Represent this relationship using a table.
# of Figure, x
# of New Branches, y 1 2 3 4 5 3 9 27 81
243

4. Example; Patterns & Nonlinear Functions
Represent this relationship using a table.
# of Figure, x
# of New Branches, y 1 2 3 4 5 3 9 27 81
243
Represent this relationship using a words.
The number of branches by 3 multiplied by 3 each time you move to next figure.
Represent this relationship using an equation.
y = (3) (3) (3) … (3)
y = 3x

5. Example; Patterns & Nonlinear Functions
Represent this relationship using a table.
# of Figure, x
# of New Branches, y 1 2 3 4 5 3 9 27 81
243
Represent this relationship using graph.
100
200 1 2 3 4 5
# of Branches
# of Figure

6. #25: Patterns and Nonlinear Functions
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