Interpreting Graphs

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 the function can produce, given its domain.

Front

What does the interval (-2,3) represent in terms of local maxima?

Back

The interval (-2,3) indicates that there is a local maximum or relative maximum within this range, where the function reaches a peak.

Front

What is the domain of a function?

Back

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

Front

What is the formula for Average Rate of Change (AROC)?

Back

The Average Rate of Change (AROC) is calculated as (y(2) - y(1)) / (x(2) - x(1)).

Front

What does the point (1,0) indicate in terms of local minima?

Back

The point (1,0) indicates a local minimum or relative minimum, where the function reaches a low point.

Front

How do you identify a local maximum on a graph?

Back

A local maximum occurs at a point where the function value is higher than the values of the function at nearby points.

Front

How do you identify a local minimum on a graph?

Back

A local minimum occurs at a point where the function value is lower than the values of the function at nearby points.

Front

What is the significance of closed intervals like [-5,5]?

Back

Closed intervals include their endpoints, indicating that the function is defined and includes values from -5 to 5.

Front

What is the significance of open intervals like (-2,3)?

Back

Open intervals do not include their endpoints, indicating that the function is defined for values between -2 and 3, but not at -2 and 3.

Front

What is a critical point in the context of graph interpretation?

Back

A critical point is where the derivative of a function is zero or undefined, indicating potential local maxima or minima.