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~MM1A1.

~MM1A1. Relate to a given contact the characteristics of a function, and use graphs and tables to investigate its behavior. Kiana Cass Malik. Connect The Dots or don`t. If the domain is continuous you connect the dots.

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~MM1A1.

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  1. ~MM1A1. Relate to a given contact the characteristics of a function, and use graphs and tables to investigate its behavior. Kiana Cass Malik

  2. Connect The Dots or don`t • If the domain is continuous you connect the dots. • Ex: If you have pounds of turkey or time then you connect the dots, because you can have a pound of turkey and a half an hour.

  3. Connect The Dots or don`t • If the domain is discrete, then you do NOT connect the dots. • Ex: If the domain was t-shirts, you can’t have half a shirt, so you don’t connect the dots.

  4. Writing a Rule: To write a rule (equation), you need to figure out what you can do to the x’s to get the y’s. If it is not one step like multiplying, dividing, adding, and subtracting, then you may want to find the slope first. Remember , where m is the slope and b is the y-intercept.

  5. Examples For this table you can see that to get from x to y you can multiply by 5 every time so . For this table you can see that to get from x to y you can subtract 2 each time so

  6. Examples For this table you can not quickly see one step that will get you from x to y, so find the slope which is the change in y’s over the change in x’s. Notice that the y’s are going up by 2 and the x’s by 1, so So now I know that I have to multiply by 2 and then add or subtract something to get y. So I just think through it 2(0) is 0 so to get 3 I have to add 3. Now I check to see if that works for the rest of the x’s. 2(1) is 2 and 2+3 is 5, that works. 2(2) is 4 and 4+3 is 7, that works. 2(3) is 6 and 6+3 is 9, that works. Therefore,

  7. Writing Rules for Word Problems: If concert tickets are $15 each, write a rule for the cost, c, as a function of the number of tickets purchased, t. • You have a hint when it says c as a function of t, that lets you know it is going to be something. • Then you just have to think about an example, like if you bought 3 tickets that would be $45, so I know I need to multiply. The rule is

  8. Writing Rules for Word Problems: • A photographer charges a $30 sitting fee plus $20 per each roll of film taken. Write a rule for the cost, y as a function of the rolls of film, x. • We know it is something, and it is $20 per roll, x, plus the $30 sitting fee. • The rule is

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