FUNCTION OR NOT! TEK 8.5G

Front

What is a function?

Back

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

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 graph at more than one point, then the relation is not a function.

Front

What does it mean if a relation is not a function?

Back

If a relation is not a function, it means that at least one input is associated with multiple outputs.

Front

Give an example of a function.

Back

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

Front

Give an example of a relation that is not a function.

Back

An example of a relation that is not a function is y^2 = x, because for some x-values, there are two corresponding y-values.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

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

What is a one-to-one function?

Back

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

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as 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, b, and c are constants.