Key Features Check-in

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

How do you identify the domain of a function from a graph?

Back

To identify the domain from a graph, look for the x-values that the graph covers. The domain includes all x-values for which there is a corresponding y-value.

Front

What does the notation \(\left[a,b\right]\) represent in terms of domain?

Back

The notation \(\left[a,b\right]\) represents a closed interval, meaning the domain includes all values from a to b, including the endpoints a and b.

Front

What does the notation \(\left[a,\infty\right)\) represent in terms of domain?

Back

The notation \(\left[a,\infty\right)\) represents a half-open interval, meaning the domain includes all values from a to infinity, including a but not including infinity.

Front

What is an increasing interval of a function?

Back

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

Front

How can you determine the increasing intervals from a graph?

Back

To determine increasing intervals from a graph, look for sections where the graph moves upward as you move from left to right.

Front

What is a positive interval of a function?

Back

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

Front

What is a decreasing interval of a function?

Back

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

Front

How can you determine the decreasing intervals from a graph?

Back

To determine decreasing intervals from a graph, look for sections where the graph moves downward as you move from left to right.

Front

What does the notation \(\left(-\infty,a\right)\) represent in terms of domain?

Back

The notation \(\left(-\infty,a\right)\) represents an interval that includes all values less than a, but not including a itself.