Relations
What is a relation?
What is a relationship between sets of values?
What is a function?
What is one or more rules that are applied to an input and yield an output?
-or-
Bonus What is just a fancy word for rule or equation?
Is a relation also a function?
What is a no?
What is the format of an ordered pair?
What is (x,y)?
The output of function F is y. The input of function F is x. If y=2x-3, what is F(x)?
What is F(x)=2x-3?
What is a domain? What is a range?
What is a set of all x-values for domain and a set of all y-values for range?
What are the most common names for functions?
What are "L" and "G"?
Is a function also a relation?
What is yes?
Given these ordered pairs, what is the domain?
Ordered Pairs = {(1,6), (-3,2), (5,0), (-1,-5), (4,2)}
What is Domain = {-3, -1, 1, 4, 5}?
What kind of graph do you get from y = x3.
power
True or False: You can repeat values in domain and range sets.
What is false?
What is the function notation? Please write it out on your whiteboard.
What is y = f(x)?
Bonus What is the input? What is the output?
This is a relation with rules.
What is a function?
What is the shape of quadratic function?
Parabola (U-shaped?)
The slope of y=4x+7
What is 4?
How can relations be displayed?
What are tables, mappings, and graphs?
What do we do with functions when we have an input value?
What is plug-in the input?
How many outputs can every input in a function have?
What is only one output for every input?
You use this test to determine if a graph is a function
Vertical line test
On your white board, create a table for F(x)=2x-5 when Domain={0, 1, 3, 5}.
x y
0 -5
2 -3
3 1
5 5
What does each row of a relation table represent?
What is an ordered pair?
Explain what each variable in the function y= mx+b stands for?
y = output
x - input
m = slope (rise/run)
b = y-intercept
How many y-values can an x-value have in a relation?
Infinity
Give an example of a relation that is not a function
Answers may vary:
x=7
x = |y|
x = y3 - y2
This happens to y when you double x in y = 4x.
What is "it doubles"