8.F.1 & 8.F.3 Review

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input.

Front

How can you determine if a relation is a function?

Back

A relation is a function if every input has exactly one output, which can be checked using the vertical line test on its graph.

Front

What is the vertical line test?

Back

The vertical line test states that if a vertical line intersects a graph at more than one point, then the graph does not represent a function.

Front

What is the difference between a function and a non-function?

Back

A function has a unique output for each input, while a non-function may have multiple outputs for a single input.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

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.

Front

What is a many-to-one function?

Back

A many-to-one function is a function where multiple inputs can produce the same output.

Front

What is a graph of a function?

Back

The graph of a function is a visual representation of the relationship between inputs and outputs, typically plotted on a coordinate plane.

Front

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

Back

For a graph to be a function, it must pass the vertical line test, meaning no vertical line intersects the graph at more than one point.

Front

What is an example of a function?

Back

An example of a function is f(x) = x^2, where each input x has a unique output.