5-4 writing a function rule. ex. 1 writing from a table o ask “how do i get from x to f(x)?” o...

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5-4 Writing a Function Rule

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Page 1: 5-4 Writing a Function Rule. Ex. 1 Writing from a Table O Ask “How do I get from x to f(x)?” O Add 4 to x each time O f(x) = x + 4 O How do I get from

5-4 Writing a Function Rule

Page 2: 5-4 Writing a Function Rule. Ex. 1 Writing from a Table O Ask “How do I get from x to f(x)?” O Add 4 to x each time O f(x) = x + 4 O How do I get from

Ex. 1 Writing from a Table

O Ask “How do I get from x to f(x)?”

O Add 4 to x each time

O f(x) = x + 4

O How do I get from x to y

O x times itselfO y = x2

x f(x)1 52 63 74 8

x y1 13 96 369 81

Page 3: 5-4 Writing a Function Rule. Ex. 1 Writing from a Table O Ask “How do I get from x to f(x)?” O Add 4 to x each time O f(x) = x + 4 O How do I get from

Your PracticeO Write Function

Rule

O multiply x by 2O y = 2x

O Write Function Rule

O Add 2 to xO y = x + 2

x y1 22 43 64 8

x y1 32 43 54 6

Page 4: 5-4 Writing a Function Rule. Ex. 1 Writing from a Table O Ask “How do I get from x to f(x)?” O Add 4 to x each time O f(x) = x + 4 O How do I get from

Ex. 2/3 Story ProblemsO 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.

O A. Write a function ruleO B. Find length of space bar if 5 inches on regular

computer.O A. Larger is 20 times normal

O L = 20nO B. Use function rule

O L = 20nO L = 20(5)O L = 100 inches

Page 5: 5-4 Writing a Function Rule. Ex. 1 Writing from a Table O Ask “How do I get from x to f(x)?” O Add 4 to x each time O f(x) = x + 4 O How do I get from

Story Problems Cont.O 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.

O Describe how to find the profitO Profit is 15 dollars per hour – cost of

software package.O P = 15d – 199

Page 6: 5-4 Writing a Function Rule. Ex. 1 Writing from a Table O Ask “How do I get from x to f(x)?” O Add 4 to x each time O f(x) = x + 4 O How do I get from

Your PracticeO 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?

O Function RuleO Total cost is price per pound times number of

poundsO c = 1.19p

O Cost of 12 lbsO c = 1.19pO c = 1.19(12)O c = $14.28