Representing Relations
Functions
Linearity and Continuity
Intercepts of Graphs
Shapes of Graphs
100
A set of ordered pairs.
What is a Relation?
100
A relationship between input and output where there is exactly one output for each input.
What is a Function?
100
Points from a function that are not connected on a graph.
What is a Discrete Function?
100
The point where a graph crosses the x-axis.
What is the x-intercept?
100
The folding line that shows each half of a figure matches the other side exactly.
What is a Line of Symmetry?
200
The set of the first number of the ordered pairs in a relation.
What is Domain?
200
A relationship between input and output where there is more than one output for each input.
What is NOT a function?
200
Points on a graph of a function that are all connected.
What is a Continuous Function?
200
The point where a graph crosses the y-axis.
What is the y-intercept?
200
The parts of a function where the graph goes up from left to right.
What are the Increasing parts of a function?
300
The set of second numbers of the ordered pairs in a relation.
What is the Range?
300
A test to tell if a relation is a function by seeing that a vertical line intersects the graph only once.
What is the Vertical Line Test?
300
A function where some points are connected by a line or curve and some points are not connected.
What is a Neither Discrete nor Continuous Function?
300
Where the graph of a function lies above the x-axis.
What is the Positive part of a graph?
300
The parts of a function where a graph goes down from left to right.
What are the Decreasing parts of a function?
400
The variable in a relation, usually x, with a value that is subject to choice.
What is an independent variable?
400
A test to tell if a relation is not a function by seeing that a vertical line intersects the graph more than once.
What is the Vertical Line Test?
400
A function that has a graph that is a line.
What is a Linear Function?
400
Where the graph of a function lies below the x-axis.
What is the Negative part of a graph?
400
Points on the graph of a function where there are no other nearby points with a smaller y-coordinate.
What is the Relative Minimum?
500
Illustrates the relationship between the domain and range by showing how each element of the domain is matched with an element in the range?
What is a Mapping?
500
A way of writing an equation so that y = f(x).
What is Function Notation?
500
A function that has a graph with points that cannot all lie on the same line.
What is a Nonlinear Function?
500
(-2, 0) and (2, 0)
What are the x-intercepts of the graph below?
500
Points on the graph of a function where there are no other nearby points with a greater y-coordinate.
What is the Relative Maximum?
600
Refers to the space, or interval, between tick marks on the x-axis and the y-axis.
What is Scale?
600
f(2) = 3(2) -5 = 6-5 = 1
What is the output of the function f(x) = 3x - 5, when x = 2?
600
The linear equation Ax + By = C
What is the Standard Form of a linear equation?
600
(0, -12)
What is the y-intercept of the graph below?
BONUS QUESTION: Can a function ever have more than one y-intercept?
600
Points that are locations where the graph of a function has relatively low or high values.
What are Extrema?