2. Start out by asking yourself, “How do I get from 1 to -1?” How do I get from 2 to 0? How do I get from 3 to 1? How do I get from 4 to 2? f(x) = X – 2 -2 -2 -2 -2 2 4 1 3 0 2 -1 1 f(X) X
3. Ask yourself, “How can I get from 1 to 2? How can I get from 2 to 4? How can I get from 3 to 6? How can I get from 4 to 8? Which one makes the rule? Y = 2X +1 or 2(1) +2 or 2(2) +3 or 2(3) +4 or 2(4) 8 4 6 3 4 2 2 1 Y X
4. How do I get from 1 to 3? How do I get from 2 to 4? How do I get from 3 to 5? How do I get from 4 to 6? Y = X + 2 +2 +2 +2 +2 9 7 8 6 7 5 6 4 5 3 4 2 3 1 Y X
5. How do you get from -3 to 0? How do you get from -1 to 2? How do you get from 1 to 4? How do you get from 3 to 6? f(x) = x + 3 +3 +3 +3 +3 6 3 4 1 2 -1 0 -3 f(x) X
6. How do you get from -8 to -4? How do you get from -6 to -3? How do you get from -4 to -2? How do you get from -2 to -1? Which one makes the rule? f(x) = x/2 Does this hold true for 0? /2 or +4 /2 or + 3 /2 or +2 /2 or +1 0 0 -1 -2 -2 -4 -3 -6 -4 -8 f(x) X
7. REAL WORLD PROBLEM SOLVING A carpenter buys finishing nails by the pound. Each pound of nails costs $1.l9. Write a function rule to describe this relationship. Let x = the number of pounds of nails Let C(x) = the cost of x pounds of nails C(x) = 1.19x How much would 12 lb of finishing nails cost? C(12) = 1.19(12) C(12) = 14.28 4.76 4 3.57 3 2.38 2 1.19 1 C(x) X
8. 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. Let n = number of hours you work Let p(n) = the profit you will make Think: Total is $15 times hours minus cost of Profit worked program P(n) = 15 n – 199
