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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? _________________________________________________________________________________ _________________________________________________________________________________ _________________________________________________________________________________ 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