functions

In the diagram below, what is the relationship between the number of triangles and the perimeter of the figure they form?

	1.	Represent the above relationship by filling in the table below.

Number of Triangles	Perimeter	
1		
2		
3		

	2.	Represent the above relationship by drawing a graph.

	3.	Elaine has a business repairing home computers. She charges a base fee of $30 for each visit and $35 per hour for her labor. The total cost C for a home visit and x hours of labor is modeled by the function rule . Use the function rule to make a table of values and a graph.

x	C	
0		
1		
2		
3		

	4.	Identify the domain and range of the relation.

	5.	Identify the domain and range of the relation.

Use the vertical line test to determine whether the relation is a function.

	6.	

	7.	

	8.	The function  represents the number of guitar lessons, g(t), you can complete in t months. How many guitar lessons can you complete in 7 months?

	9.	Find the range of  for the domain {–1, 3, 7, 9}.

	10.	Dexter has 56 tiles left over from tiling his bathroom floor and he would like to use them to tile the front entrance of his house. Each tile has an area of 36 in.. The function  represents the area , in square inches, that t tiles cover. What domain and range are reasonable for the function? What is the graph of the function?

	11.	The cost to ride the city bus is $2.00 one way. Next year, the cost will be $2.10 one way. The year after that the cost will be $2.20 one way, and after that the fare will be $2.30. Write an explicit formula to represent the cost of riding the city bus one way as an arithmetic sequence. How much will it cost to ride the bus 12 years from now?