3.2 Key Features (Increasing/Decreasing; Positive/Negative)

Front

What is an increasing interval?

Back

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

Front

What is a decreasing interval?

Back

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

Front

Define a positive interval.

Back

A positive interval is a range of x-values where the function's output (y-values) is greater than zero.

Front

Define a negative interval.

Back

A negative interval is a range of x-values where the function's output (y-values) is less than zero.

Front

What does the range of a graph represent?

Back

The range of a graph represents all possible output (y) values of the function.

Front

What does the domain of a graph represent?

Back

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

Front

How do you denote an interval that is open?

Back

An open interval is denoted with parentheses, e.g., (a, b), meaning a and b are not included.

Front

How do you denote an interval that is closed?

Back

A closed interval is denoted with brackets, e.g., [a, b], meaning a and b are included.

Front

What is the notation for union of intervals?

Back

The union of intervals is denoted by 'U', e.g., (a, b) U (c, d).

Front

What is the significance of the interval notation (-∞, ∞)?

Back

The interval (-∞, ∞) indicates that the function is defined for all real numbers.