Relations and Functions Flashcard

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What is the definition of a mapping in mathematics?

Back

A mapping is a relationship between two sets that assigns each element of the first set to exactly one element of the second set.

Front

How can you determine if a mapping is a function?

Back

A mapping is a function if no two ordered pairs have the same first element with different second elements.

Front

What does the term 'domain' refer to in a function?

Back

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

Front

What does the term 'range' refer to in a function?

Back

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

Front

What is the significance of a graph in understanding functions?

Back

A graph visually represents the relationship between the input and output values of a function, making it easier to analyze.

Front

What does it mean if a graph is not a function?

Back

If a graph is not a function, it means that at least one input value corresponds to more than one output value.

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.

Front

How do you find the distance traveled from a graph?

Back

The distance traveled can be found by analyzing the vertical distance on the graph at a given time.