Vocab
A relation where each input has exactly one output.
What is a function?
The limit of this function as x approaches 5.
What is two?
A function can have have only this many outputs for each input.
What is one?
To test continuity of a given function, we should check the left limit, the right limit, and this.
What is the y-value?
The limit of this function as x approaches zero.
What is zero?
When the left limit doesn't equal the right limit, we say that this object does not exist.
What is the two-sided limit?
The limit of this function as x approaches -2.
What is ten?
The reason that the graph below is not a function is because of this input value.
What is x=6?
These functions, like x^2 or 5x^4-x^3+2, are always continuous everywhere.
What are polynomials?
The reason that the graph below fails to be a function is this x-value.
What is x=3?
This concerns the patterns of y-values as x-values approach a certain number. It can be found using either a graph or a table.
What is a limit?
The limit of this function as x approaches 4.
What is the limit does not exist?
Out of the following charts, this relation could be a function.
What is Table A?
The function below is discontinuous at these two x-values.
What are 2 and 4?
This word describes a mathematical statement that has a proof. Examples include the Pythagorean and the Intermediate Value.
What is a theorem?
This is often informally described as being able to draw a graph without picking up your pencil.
What is continuity?
The limit of this function as x approaches 6 from the right.
What is 3?
Out of the following charts, this relation could be a function.
What is Table C?
The function below is discontinuous at x=7 because the left and right limits equal 3, but the y-value equals this number.
What is zero?
The function below is discontinuous at x=10 because the left limit and the right limit equal these two numbers.
What are 10 and 0?
The Intermediate Value Theorem says that a continuous function f on [a,b] outputs every possible number between these two numbers.
What is f(a) and f(b)?
The limit of this function as x approaches infinity.
What is 20?
Out of the choices
x^2+y^2=5
|y|=x+2
y=15sin(x^2)
only this expression is a function of x.
What is y=15sin(x^2)?
The continuous function described by the table below must have a zero somewhere between these two x-values.
What are 3 and 4?
What is AMAZING?