The connection between two pieces of data, often represented as ordered pairs, in a table, a mapping, or on a graph.
What is A RELATION?
All relations are also functions.
What is FALSE, because functions must have exactly one output for each input, and relations do not require that?
The first set of values in the ordered pairs of a relation or a function. (x-values)
What is the INPUT / DOMAIN?
Evaluate f(x)=2x+1 if x=-2
What is -3?
When creating a mapping, I write the domains and ranges from least to greatest, with repeats, and draw arrows between the paired values.
What is FALSE, because when creating mappings, there are no repeats?
Is it a function?
What is NO, the x-values repeat (x=2 has two outputs)?
The second set of values in the ordered pairs of a relation or a function. (y-values)
What is the OUTPUT / RANGE?
Evaluate f(x)= -3 - 2x if x=6
What is -15?
The only ways to represent a relation are with 1) a table, 2) a mapping, or 3) a graph.
What is FALSE, because coordinate pairs also represent relations?
x | y |
2 | 4 |
1 | 5 |
2 | 6 |
A relation that assigns exactly one value in the range to each value in the domain?
What is a FUNCTION?
Evaluate f(x)= (25 - 4x) - 5 if x=5
What is 0?
In an experiment where you're testing how the amount of sunlight affects a plant's growth, the plant's growth is the independent variable.
What is FALSE, the amount of sunlight is the independent variable?
Is it a function?
What is YES because it passes the Vertical Line Test?
The visual test to see if a graph is a function.
What is the VERTICAL LINE TEST?
Evaluate f(x)=-(4x+2) if x=7
What is -30?
If you're studying how the number of hours a student studies impacts their test score, the number of hours studied is the dependent variable.
What is FALSE, the number of hours studied is the independent variable?
Is it a function?
What is NO because it does not pass the Vertical Line Test?