Domain and Range Review

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 domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How can you determine if a relation is a function?

Back

A relation is a function if no x-value is repeated with different y-values.

Front

What does it mean if a graph passes the vertical line test?

Back

If a graph passes the vertical line test, it means that for every x-value, there is only one y-value, confirming it is a function.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on a graph.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as x increases, y also increases.

Front

What is the significance of the y-intercept?

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of y when x is 0.