Function/Non Function Flashcard 2

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input.

Front

What is a non-function?

Back

A non-function is a relation where at least one input is associated with multiple outputs.

Front

How can you determine if a relation is a function using the vertical line test?

Back

If a vertical line intersects the graph of the relation at more than one point, then the relation is not a function.

Front

What is the domain of a function?

Back

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

Front

Give an example of a function.

Back

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

Front

Give an example of a non-function.

Back

An example of a non-function is the relation {(1, 2), (1, 3)}, where the input 1 has two different outputs.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, typically in the form f(x) = mx + b.

Front

What is a quadratic function?

Back

A quadratic function is a function that can be expressed in the form f(x) = ax^2 + bx + c, where a ≠ 0.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if each output is associated with exactly one input, meaning no two different inputs produce the same output.