So far in mathematics 12, we have completed Investigation 1 and questions 1, 2, 5 and 6 in the text. This investigation asks you to explore nmber patterns and to develop **sequences**. We can find the **sequence of differences** by subtracting adjacent **terms** and use this difference to identify linear or other types of functions.

Some patterns that you may have noticed include:

- the common difference of your sequence is equal to the slope when you graph the data (if the common difference is 6, your equation may look like tn=6n)
- the first sequence of difference resulted in a
** common difference** (the difference between the terms were the same) –> this tells us it is a linear function
- if you find the common difference between each term, you can then just figure out what constant needs to be added each time to find your equation y=mx+b

Some of the terms that we reviewed included:

*independent variable*: is “manipulated” and can cause change in something else (ex. increasing the hours you work will change the amount that you are paid) – graphed on the x axis
*dependent variable*: is dependent on something; changes in relationship to something (ex. the wage you are paid changes/depends on the hours you work)- graphed on the y axis
*domain*: refers to the possible x values for your function
*range*: refers to the possible y values for your function

For homework, page 4-6 questions #8, 10, 13, 14 and 15 were assigned. The due date for this homework is in class tomorrow (Wednesday).

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