Interpreting Graphs of Functions

Front

What is an absolute minimum point of a function?

Back

The absolute minimum point of a function is the lowest point on the graph of the function over its entire domain.

Front

How do you determine the maximum or minimum value of a function from its graph?

Back

You can determine the maximum or minimum value by identifying the highest or lowest point on the graph, respectively.

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 a y-intercept?

Back

The y-intercept is the point where the graph of a function crosses the y-axis, represented as (0, y).

Front

How do you find the y-intercept from a graph?

Back

To find the y-intercept, look for the point where the graph intersects the y-axis.

Front

What does it mean if a graph has a minimum value?

Back

If a graph has a minimum value, it indicates that there is a point on the graph that is lower than all other points in the specified range.

Front

What is the significance of the coordinates of a point on a graph?

Back

The coordinates of a point on a graph represent the input (x) and output (y) values of the function at that specific location.

Front

How can you identify the range of a function from its graph?

Back

The range of a function can be identified by looking at the set of all output (y) values that the function can take.

Front

What is the difference between a local minimum and an absolute minimum?

Back

A local minimum is the lowest point in a specific interval, while an absolute minimum is the lowest point over the entire domain of the function.

Front

What does it mean for a function to be increasing or decreasing?

Back

A function is increasing if the y-values rise as the x-values increase, and decreasing if the y-values fall as the x-values increase.