Functions Flashcard

Front

What is the definition of a function?

Back

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

Front

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

Back

A relation is a function if no x-value is repeated for different y-values.

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

Why is the relation x = 10 and x = 40 not a function?

Back

Because both x-values have two corresponding y-values, violating the definition of a function.

Front

How can you determine if a table represents a function?

Back

Check if any x-value is repeated; if it is, the table does not represent a function.

Front

What is an example of a function in real life?

Back

A vending machine is a function; each button (input) corresponds to one specific item (output).

Front

What is the difference between a function and a non-function?

Back

A function has a unique output for each input, while a non-function may have multiple outputs for a single input.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs in a function.

Front

What is the significance of the domain and range in a function?

Back

The domain is the set of all possible inputs, while the range is the set of all possible outputs of a function.

Front

How do you find the speed of a boat represented in a function?

Back

By analyzing the output values corresponding to time inputs in the function.