From functions to Linear vs. Non-Linear

Front

What is a function?

Back

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

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What does it mean for a relation to not be a function?

Back

A relation is not a function if at least one input is associated with more than one output.

Front

How can you determine if a mapping represents a function?

Back

Check if each input has only one output; if it does, it is a function.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, meaning it has a constant rate of change.

Front

What is a non-linear function?

Back

A non-linear function is a function that does not graph to a straight line, indicating a variable rate of change.

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 crosses the graph more than once, it is not a function.

Front

What is the difference between inputs and outputs in a function?

Back

Inputs are the values you put into a function, while outputs are the values you get out from the function.

Front

What does it mean for a function to be one-to-one?

Back

A one-to-one function is a function where each output is associated with exactly one input.

Front

What is a function table?

Back

A function table lists pairs of inputs and their corresponding outputs, helping to visualize the relationship.

Front

Can a function have repeated outputs?

Back

Yes, a function can have repeated outputs as long as each input has only one output.