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Name___________________________________
Algebra I - _________
Four Views of a Function – Practice
1. Suppose you are finding the perimeter of a sequence of squares, based on the pattern
below. Use the table to find the relationship between the perimeter and the term number.
a) Complete the table.
Term
Number
1
Visual of Squares
(Figure)
Written
Description
A square whose sides
measure 1 unit has a
perimeter of 4.
Perimeter
Process Column
4
2
8
3
4
n
b) Complete the table, using the process column to write a function for figure n, and graph the relation.
Figure Number
(Length of Side)
Perimeter
Process
1
2
3
4
5
n
c) What is the perimeter of figure number 11? (show work to support your answer)
d) What figure number has a perimeter of 48? (show work to support your answer)
e) What does the ordered pair (15, 60) mean?
f) Does the ordered pair (18, 74) belong to this graph? Justify your answer?
g) Is this a proportional relationship?
_________ Explain how you know?
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2. Verbal:
Algebraic:
The first four figures in a sequence of figures are
shown. Each figure is made up of toothpicks.
Assume that the sequence of figures continues
with each figure increasing in size in a similar
manner.
Figure #1
Figure #2
Figure #3
Write a function rule that you could
use to find the number of toothpicks
needed to build any figure in the
sequence.
Figure #4
Table:
Graph:
Figure
Number
Process
Total
Toothpicks
1
3
2
5
3
5
9
n
Algebraic: Write a function rule that you could
3. Verbal:
use to find any number in the
sequence given a term number.
A sequence of numbers is given:
1, 4, 7, 10, …
Table:
Graph: Complete the graph. The first two points are
graphed
Term
Number
Process
Number in
Sequence
1
1
2
4
3
7
4
5
n