Independent and Dependent variables

Blue Day – 1/8/2014Gold Day – 1/9/2014

Bell Ringer

Finish domain and Range worksheet from last class.

Agenda and News

Study of functions Independent vs. Dependent

Last day to do a schedule change is Friday, January 16, 2015.

Student Holiday – Monday, January 19, 2015

In an Algebraic situation, equation, table, or graph, the variables (usually x and y) can be classified as either __________ or _________.

independent

dependent

Independent Variable

The independent variable is always located on the _________ of a graph.

The independent variable is the ________________.

It is usually the ________ in a table or equation.

The independent variable STANDS ALONE (___________).

The independent variable is what happens _______.

x-axis

Input (domain)

“x”

Does not depend

FIRST

The variable in a function whose value is subject to choice is the independent variable. The independent variable affects the value of the dependent variable.

Deciding Which is which?

Dependent Variable

The dependent variable is always located on the _________ of a graph.

The dependent variable is the ______________.

It is usually the _______ in a table or equation.

The dependent variable DEPENDS on the ________________.

The dependent variable is what happens _______.

y-axis

Output (Range)

“y”

independent variable

2nd

The variable in a function whose value is determined by the independent variable is the dependent variable.

Deciding Which is which?

Notes

Changing the independent variable

Causes changes in the

Dependent variable!

The dependent variable depends on the independent variable!!!

X

Y

Let’s Practice!

1. A student’s grade depends on how much she studies.

Independent variable:__________Dependent variable:___________

2. The height of a plant and the amount you water it.

Independent variable: ___________Dependent variable: _____________

Time studyinggrade

Amount wateredheight

3. The amount of money you make and the number of hours you work.

Independent variable: _____________

Dependent variable:_____________

4. The number of sodas you buy and the total money spent.

Independent variable:______________

Dependent variable:_______________

5. The number of houses you can paint depends on how much time you have.Independent variable:______________Dependent variable:_______________

Hours worked

Amount of money

Number of sodasTotal money

Amount of timeNumber of houses

Continuous DataData that is continuous is data that _________ happens. You can usually tell that your data is continuous if you are _________ something (i.e. time, distance, length, height, etc.). If your data is continuous, then you will _________ the points on your graph.

continuously

measuring

connect

Discrete DataYou can tell that your data is discrete if you are ________________________ (i.e. number of people, cars, or stories of a building). If your data is discrete, then you will _____________ the points on your graph.

counting or measuring in whole numbers

NOT connect