Key Features Check-in

Front

What is the definition of 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

How do you determine the domain of a function from its graph?

Back

The domain can be determined by identifying the x-values that the graph covers, typically read from left to right.

Front

What is an increasing interval in a function?

Back

An increasing interval is a range of x-values where the function's output (y-value) is rising as x increases.

Front

What is a decreasing interval in a function?

Back

A decreasing interval is a range of x-values where the function's output (y-value) is falling as x increases.

Front

How can you identify increasing and decreasing intervals from a graph?

Back

Increasing intervals are where the graph rises, and decreasing intervals are where the graph falls.

Front

What notation is used to represent intervals in mathematics?

Back

Intervals are represented using parentheses ( ) for open intervals and brackets [ ] for closed intervals.

Front

What does the interval notation (4, 8) signify?

Back

The interval (4, 8) signifies all real numbers greater than 4 and less than 8, not including the endpoints.

Front

What does the interval notation [-∞, 2] signify?

Back

The interval [-∞, 2] signifies all real numbers less than or equal to 2, extending indefinitely to the left.

Front

What is the significance of endpoints in interval notation?

Back

Endpoints indicate whether the values at the boundaries of the interval are included (closed) or excluded (open) from the interval.

Front

How do you find the increasing intervals of a function from its graph?

Back

To find increasing intervals, look for sections of the graph where the y-values rise as you move from left to right.