Identifying Functions and Function Tables

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

Does the mapping represent a function?

Back

Yes, if each input has exactly one output.

Front

Does the graph represent a function?

Back

Yes, if it passes the vertical line test.

Front

What does it mean for a table to represent a function?

Back

A table represents a function if each input value corresponds to exactly one output value.

Front

What is an example of a function?

Back

f(x) = 2x + 3 is a function because for every x, there is one unique output.

Front

What is an example of a non-function?

Back

y^2 = x is not a function because for some x values, there are two corresponding y values.

Front

What is a mapping?

Back

A mapping is a way to describe how each element of one set (domain) is paired with an element of another set (range).

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for the function.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.