Functions, Functions, Functions

Front

What is the definition of a function?

Back

A function is a relation where every input has exactly one output.

Front

What is the difference between input and output in a function?

Back

Input is the value you provide to a function, while output is the value the function returns.

Front

How can you determine if a graph represents a function?

Back

A graph represents a function if any vertical line drawn intersects the graph at most once.

Front

What is a domain in the context of functions?

Back

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

Front

What is a range in the context of functions?

Back

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

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each output is produced by exactly one input.

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line.

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.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function by checking if any vertical line intersects the curve more than once.

Front

What is a composite function?

Back

A composite function is formed when one function is applied to the result of another function.