Functions, Functions, Functions

Front

What is a function?

Back

A function is a relation where every input (x-value) has exactly one output (y-value).

Front

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

Back

A mapping is a function if each input is associated with one and only one output.

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

Back

The corresponding input values are {3, 4, 5}.

Front

Back

The corresponding dependent values are {3, 12}.

Front

What is the definition of independent and dependent variables in a function?

Back

Independent variables are the inputs (x-values) that can be controlled, while dependent variables are the outputs (y-values) that depend on the independent variables.

Front

What is a one-to-one function?

Back

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

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output, while a relation can have multiple outputs for a single input.

Front

What does it mean for a function to be linear?

Back

Front

How can you determine if a set of points represents a function?

Back

You can determine if a set of points represents a function by checking if any x-value is repeated with different y-values.