Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the definition of domain in a function?

Back

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

Front

What is the definition of range in a function?

Back

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

Front

How can you determine if a table represents a function?

Back

A table represents a function if each input value (x) corresponds to exactly one output value (y). If any input value is repeated with different outputs, it is not a function.

Front

What does it mean for a graph to be a function?

Back

A graph represents a function if it passes the vertical line test, meaning that no vertical line intersects the graph at more than one point.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph is a function by checking if any vertical line drawn through the graph intersects it at more than one point.

Front

What is the significance of the notation f(x)?

Back

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

Front

What does it mean if a function is increasing?

Back

A function is increasing if, as the input values (x) increase, the output values (f(x)) also increase.

Front

What does it mean if a function is decreasing?

Back

A function is decreasing if, as the input values (x) increase, the output values (f(x)) decrease.

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each output value is associated with exactly one input value, meaning no two different inputs produce the same output.