Functions Review

Front

What is a function in mathematical terms?

Back

A function is a relation where every input has exactly one output.

Front

What is the definition of a dependent variable?

Back

The dependent variable is the output of a function, often represented as y-values.

Front

What is the definition of an independent variable?

Back

The independent variable is the input of a function, often represented as x-values.

Front

How can you determine if a table represents a function?

Back

A table represents a function if each input (x-value) corresponds to only one output (y-value).

Front

What does the notation f(x) represent?

Back

f(x) represents the output of the function f for a given input x.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

Front

How do you find f(-4) for the function f(x) = 2x + 3?

Back

To find f(-4), substitute -4 for x: f(-4) = 2(-4) + 3 = -8 + 3 = -5.

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

What is an example of a non-function?

Back

An example of a non-function is a relation where an input has multiple outputs, such as the relation {(1, 2), (1, 3)}.