Lesson 34
What is an ordered pair
An ordered pair is a pair of numbers ( ),x y used
to show the position of a point on a coordinate
plane.
What is a one-to-one relation?
A relation is one-to-one when each input maps to one unique output.
An independent variable is a variable that determines the value of another variable.
True or false, if you use the vertical line test and it passes through a line 1< its a function.
false.
What are coordinates
Coordinates are the values x and y that
make up an ordered pair.
What can you use to represent relations? (A relation is a relationship between the elements in two sets.)
Relations are often represented
by charts, mapping diagrams, or ordered pairs.
What is a dependent variable?
A dependent variable is a variable whose value depends on the value of another variable.
How can you tell if a graph is a function?
Using the vertical line test.
Which corner is quadrant 3
bottom left
A relation is a relationship between the elements in two sets.
What are all outcomes of an independent variable called?
All possible values of the independent variable of a relation can be referred to as the domain of the relation.
When a vertical line is drawn through any part of a relation on a graph, the vertical line must not pass through the relation more than once for the relation to be a function.
On a coordinate plane, what is the name of (0, 0)
The origin
The table below shows a relation relating the number of cars washed and the money madeover the course of a week.
Cars Washed 1 2 3 4 5
Money Made ($) 8 16 24 32 40
What is the input and output of this relation?
The input is a value substituted into a relation that results in an output. The input for the table above is the number of cars washed. The output is a value generated by the substitution of an input value. The output for the table above is the money made. For example, the input value of 3 corresponds to the output value of 24.
What are all of the values the dependent variable of a relation can rely on called?
All possible values of the dependent variable of a relation can be referred to as the range of the relation.
Would a polygon made of lines and points on a coordinate plane be a function?
No.
In a graph, what is a vertical line. (hint not a straight up line, something else)
A vertical line is a graph of all points that have the
same x-coordinate.
How can you tell when a relation is a function?
Relations can represent multiple kinds of relationships. A specific type of relation is a function. A function is a relationship between variables (typically x and y) with exactly one output for every input.
Ruby is hosting an art class for the children in her neighborhood. She needs three paintbrushes for each child who comes to her art class. Ruby will only hold the class if at least two students enroll, and she cannot have more than 10 students in her class. Identify the independent and dependent variables.
The independent variable is the number of children attending Ruby’s art class. This value determines how many paintbrushes are needed. The dependent variable is the number of paintbrushes Ruby needs. This value depends on the number of children in the class.
Which is the x and which is the y? Input and output on a coordinate plane.
The x-coordinate is the input, and the y-coordinate is the output.