Independent and Dependent
In the scenario, "the number of tickets you sell affects how much money you earn," this is the independent variable.
What is the number of tickets you sell?
[(1,2), (2,5), (3,8), (4,11)]
The domain is?
What is {1,2,3,4}
What is a function
expression where every input has only one output.
The dependent variable in the situation, "the amount of money you make from your hourly job depends on the number of hours you work".
What is the amount of money you make?
y=2x+1 with domain (1,2,3)
This is the range.
What is {3,5,7}
Does this table represent a function
x y
1 3
2 3
5 3
6 2
7 8
Yes
Your final grade in a class and the number of assignments you complete. This is the dependent variable.
What is your final grade in a class?
-infinity to infinity
Tom, a local delivery driver, is paid $5.5 per mile driven plus a daily amount of $70. On Monday, he is assigned a route that is 65 miles long. How much is he being paid for that day?
$427.5
In the relationship, "the amount of money earned at a summer job determines how many movies you can afford to see," what is the dependent variable?
y=3x-4
What is the domain?
-infinity to infinity
What is the domain for the problem.
It costs $6 dollars a game and on average it takes fourteen attempts before someone will win a game. How much money will they typically make on the day. The game will run until all prizes have won, they started the day with eight different prizes.
0,1,2,3,4,5,6,7,8
A researcher wants to see how different amounts of sunlight affect the growth of a tomato plant. What is the dependent variable?
What is the growth of the tomato plant?
What is different about your domain when you have a discrete versus a continuous graph?
The discrete domain will have distinct points where continuous will be a range of values.
Graph the function with the given domain
f(x)=1/3x+2 with domain = {-6, 3, 12}
teacher check