Concept of a Function Lesson Preview

Front

What is a function?

Back

A function is a relationship between two variables where each input (x-value) is associated with exactly one output (y-value).

Front

What does it mean for a table to have repeating x-values?

Back

A table has repeating x-values if the same input corresponds to multiple outputs, which means it is not a function.

Front

What does it mean for a table to have repeating y-values?

Back

A table has repeating y-values if the same output corresponds to multiple inputs, which can still represent a function.

Front

What is the 'input' variable in a function?

Back

The 'input' variable, often represented as 'x', is the value that is put into a function.

Front

What is the 'output' variable in a function?

Back

The 'output' variable, often represented as 'y', is the value that comes out of a function after applying the input.

Front

Can student performance be considered a function of teacher experience?

Back

Yes, student performance can be influenced by teacher experience, indicating a relationship.

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 can be used in the function.

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 can result from the function.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b.

Front

What is a non-linear function?

Back

A non-linear function is a function that does not graph to a straight line, such as quadratic or exponential functions.