Abdullah - Functions Flashcard

Front

What is the vertical line test?

Back

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 defines a function in terms of x-values and y-values?

Back

A relation is a function if each x-value has exactly one y-value associated with it.

Front

What is the range of a function?

Back

The set of all possible output values (y-values) of a function.

Front

What is an input in the context of functions?

Back

The value that is put into a function, typically represented as x.

Front

What is a dependent value in a function?

Back

The output value (y-value) that depends on the input value (x-value).

Front

How can you tell if a graph is a function?

Back

By using the vertical line test; if any vertical line crosses the graph more than once, it is not a function.

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 has at least one input with multiple outputs.

Front

What does it mean if a function has two y-values for one x-value?

Back

It means the relation is not a function, as each input must correspond to only one output.

Front

What is the definition of a relation in mathematics?

Back

A set of ordered pairs, where each pair consists of an input (x) and an output (y).

Front

What is the significance of the term 'y-value'?

Back

The y-value represents the output of a function for a given input.