Relations
A relation is a pair between two sets called?
Domain & Range
What makes a relation a function?
Each input has exactly one output
If f(x)=x+3, find f(2)
(Able to Use Desmos)
5
What is the domain?
All possible x-values
What is the x-intercept?
Where the graph crosses the x-axis
In the ordered pair (x,y), what does the x represent?
The input or domain value
What test is used on graphs to determine if it's a function?
Vertical Line Test
If f(x)= 2x, find f(4)
(Able to Use Desmos)
8
What is the Range?
All possible y-values
What is the y-intercept?
Where the graph crosses the y-axis
What do you call the set of all x-values in a relation?
Domain
If x=2 maps to y= 3 and y=5, is it a function?
No it's not a function
If f(x)= 4x - 5, find f(3)
(Able to Use Desmos)
7
What are the domains of this set {(10,2), (9,4), (5,7)}
{5, 9, 10}
WHat is the y-intercept of y=2x+1
1
What do you call the set of all y-values in a relation?
Range
If all x-values are different, is the relation always a function?
If f(x)=3x+2, find f(-2)
(Able to Use Desmos)
-4
What are the all the range in this set {(3,4), (10,7), (1,20)}
{4, 7, 20}
What is the x-intercpt of y=9x-4
4/9
If a relation has repeating x-values with different y-values, what does that mean about the relation?
It is not a function
Why does a vertical line touching a graph twice mean it's not a function?
One input has more than one output
(Able to Use Desmos)
18
What is the domain of a graph that extends infinitely left and right?
All real numbers
What do we call the x-values where a function equals zero?
The root (or a zero)