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 Name: ____________________________________ Date: __________________ COMMON CORE ALGEBRA II,UNIT #2–FUNCTIONS AS CORNERSTONES OF ALGEBRA II–LESSON #1 eMATHINSTRUCTION, RED HOOK,NY12571,© 2015 INTRODUCTION TO FUNCTIONS COMMON CORE ALGEBRA II Most higher level mathematics is built upon the concept of a function. Like most of the important concepts in mathematics, the definition of a function is simple to the point of being easily overlooked. Make sure to know the following definition: Exercise #1: An internet music service offers a plan whereby users pay a flat monthly fee of $5 and can then download songs for 10 cents each. (a) What are the independent and dependent variables in this scenario? Independent: Dependent: (b) Fill in the table below for a variety of independent values: (c) Let the number of downloads be represented by the variable x and the amount charged in dollars be represented by the variable y. Write an equation that models y as a function of x. (d) Based on the equation you found in part (c), produce a graph of this function for all values of x on the interval 040xdd. Use a calculator TABLE to generate additional coordinate pairs to the ones you found in part (b). DEFINITION: : A function is any “rule” that assigns exactly one output value (y-value) for each input value (x-value). These rules can be expressed in different ways, the most common being equations, graphs, and tables of values. We call the input variable independent and output variable dependent. Number of downloads, x 0 5 10 20 Amount Charged, y Number of Downloads x Amount Charged, y 30 40 20 10 2.50 5.00 7.50 10.00 Nancy Farias91421 0 constant xvalue yvalue ofsongsamountpaidfor songs 55.50 67 Ytk 40.15 as Y1113058 Y1140159 TT |
Common core algebra 2 unit 2 lesson 4 homework answers
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