Function or Not?

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every input value (x), there is one and only one output value (y).

Front

What is the vertical line test?

Back

The vertical line test is a method used to determine if a curve is a function. If a vertical line intersects the curve at more than one point, then the curve is not a function.

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

Give an example of a function.

Back

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

Front

What is a non-function?

Back

A non-function is a relation where at least one input is associated with more than one output.

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is a quadratic function?

Back

A quadratic function is a function that can be expressed in the form f(x) = ax² + bx + c, where a, b, and c are constants and 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 value is associated with exactly one input value. This means no two different inputs produce the same output.

Front

What is a composite function?

Back

A composite function is formed when one function is applied to the result of another function. It is denoted as (f ∘ g)(x) = f(g(x)).