Function or Not?

Front

What is a function in mathematical terms?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

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, then the graph does not represent a function.

Front

What does it mean for a set of values to represent y as a function of x?

Back

A set of values represents y as a function of x if each input value (x) is associated with exactly one output value (y).

Front

Can a function have repeating x-values?

Back

Yes, a function can have repeating x-values as long as each x-value corresponds to only one y-value.

Front

What is an example of a function?

Back

An example of a function is the equation y = 2x + 3, where each x-value produces a unique 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 corresponds to two different outputs.

Front

What is the definition of a one-to-one function?

Back

A one-to-one function is a function where each output value is associated with exactly one input value, 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 is associated with exactly one output, while a relation can have multiple outputs for a single input.

Front

How can you determine if a graph is a function using ordered pairs?

Back

You can determine if a graph is a function by checking the ordered pairs; if any x-value is repeated with different y-values, it is not a function.

Front

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

Back

The domain of a function is the set of all possible input values (x-values), while the range is the set of all possible output values (y-values).