Front

What is a function?

Back

A function is a relation between a set of inputs (x-values) and a set of outputs (y-values) where each input is related to exactly one output.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

What does it mean for a relation to be a function?

Back

A relation is a function if each input (x-value) is paired with exactly one output (y-value).

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where for each x-value, there is one corresponding 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 {(1, 2), (1, 3)}, where the input 1 is paired with two different outputs.

Front

What is the vertical line test?

Back

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

Front

What are independent and dependent variables?

Back

In a function, the independent variable is the input (x-value), and the dependent variable is the output (y-value) that depends on the input.

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, 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) = ax^2 + bx + c, where a, b, and c are constants.