Abdullah - Functions Flashcard

Front

What is a function?

Back

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

Front

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

Back

A relation is a function if no x-value is paired with more than one y-value.

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 a repeated x-value in a function?

Back

A repeated x-value occurs when the same input (x) is associated with more than one output (y), which means the relation is not a function.

Front

What is a repeated y-value in a function?

Back

A repeated y-value means that the same output (y) can be associated with different inputs (x). This does not affect whether the relation is a function.

Front

How can you determine if a table represents a function?

Back

Check if any x-values are repeated. If they are, the table does not represent a function.

Front

What does it mean if a graph passes the vertical line test?

Back

If a graph passes the vertical line test, it means that for every x-value, there is only one corresponding y-value, confirming it is a function.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each x-value has a unique y-value.

Front

What is an example of a non-function?

Back

An example of a non-function is the relation {(1, 2), (1, 3)}, where the x-value 1 is paired with two different y-values.

Front

What is the significance of the x-value in a function?

Back

The x-value is the input of the function, and it determines the corresponding y-value (output).