Identifying Positive and Negative Intervals from a graph

Front

What is a positive interval in a function?

Back

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

Front

What is a negative interval in a function?

Back

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

Front

What does the interval notation (-∞, -5) represent?

Back

It represents all x-values less than -5, indicating a positive interval for the function.

Front

What type of brackets are used in interval notation for inclusive endpoints?

Back

Square brackets [ ] are used for inclusive endpoints (≤ or ≥).

Front

What type of brackets are used in interval notation for exclusive endpoints?

Back

Parentheses ( ) are used for exclusive endpoints (< or >).

Front

How do you identify a positive interval from a graph?

Back

Look for sections of the graph where the function is above the x-axis.

Front

How do you identify a negative interval from a graph?

Back

Look for sections of the graph where the function is below the x-axis.

Front

What does the interval notation (0, 2) indicate?

Back

It indicates that the function is positive for x-values between 0 and 2, not including 0 and 2.

Front

What does the interval (-∞, 1) describe in terms of function behavior?

Back

It describes a negative interval where the function is below the x-axis for all x-values less than 1.

Front

What is the significance of the point where a function crosses the x-axis?

Back

It indicates the transition between positive and negative intervals.