Is it a Function?

Front

What is the vertical line test?

Back

The vertical line test is a method used to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, the graph does not represent a function.

Front

What defines a function in mathematics?

Back

A function is a relation in which each input (x-value) is associated with exactly one output (y-value).

Front

What is a mapping in the context of functions?

Back

A mapping is a way to describe how each element in one set (domain) is paired with an element in another set (range). A mapping is a function if every input has a single output.

Front

What does it mean for a relation to be 'not a function'?

Back

A relation is not a function if at least one input (x-value) is associated with more than one output (y-value).

Front

How can you determine if a graph is a function?

Back

You can determine if a graph is a function by using the vertical line test. If a vertical line crosses the graph more than once, it is not a function.

Front

What is an example of a function?

Back

An example of a function is the equation y = 2x + 3, where each x-value corresponds to exactly one y-value.

Front

What is an example of a relation that is not a function?

Back

An example of a relation that is not a function is the set of points {(1, 2), (1, 3)}, where the input 1 is associated with two different outputs.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

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

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.