5-4 Writing a Function Rule

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Presentation transcript:

5-4 Writing a Function Rule

Ex. 1 Writing from a Table Ask “How do I get from x to f(x)?” Add 4 to x each time f(x) = x + 4 How do I get from x to y x times itself y = x2 x f(x) 1 5 2 6 3 7 4 8 x y 1 3 9 6 36 81

Your Practice Write Function Rule multiply x by 2 y = 2x Add 2 to x y = x + 2 x y 1 2 4 3 6 8 x y 1 3 2 4 5 6

Ex. 2/3 Story Problems The exhibit at the left is a scale model of a desk top computer. It is about 20 times the size of a normal sized desk top computer. A. Write a function rule B. Find length of space bar if 5 inches on regular computer. A. Larger is 20 times normal L = 20n B. Use function rule L = 20(5) L = 100 inches

Story Problems Cont. Suppose you buy a word-processing software package for $199. You charge $15 per hour for word processing. Write a rule to describe your profit as a function of the number of hours you work. Describe how to find the profit Profit is 15 dollars per hour – cost of software package. P = 15d – 199

Your Practice A carpenter buys finishing nails by the pound. Each pound of nails costs $1.19. Write a function rule to describe this relationship. How much do 12 lbs of finishing nails cost? Function Rule Total cost is price per pound times number of pounds c = 1.19p Cost of 12 lbs c = 1.19(12) c = $14.28