1-1 Key Features (Increasing/Decreasing; Positive/Negative)

Front

What is the range of a graph?

Back

The range of a graph is the set of all possible output values (y-values) that the function can produce. For example, for the graph with a minimum value of 1, the range is [1, ∞).

Front

What does an increasing interval on a graph indicate?

Back

An increasing interval indicates where the function's output values (y-values) are rising as the input values (x-values) increase.

Front

What does a decreasing interval on a graph indicate?

Back

A decreasing interval indicates where the function's output values (y-values) are falling as the input values (x-values) increase.

Front

Define a positive interval on a graph.

Back

A positive interval is where the function's output values (y-values) are greater than zero.

Front

Define a negative interval on a graph.

Back

A negative interval is where the function's output values (y-values) are less than zero.

Front

What is the notation for an open interval?

Back

An open interval is denoted with parentheses, e.g., (a, b), meaning it does not include the endpoints a and b.

Front

What is the notation for a closed interval?

Back

A closed interval is denoted with brackets, e.g., [a, b], meaning it includes the endpoints a and b.

Front

How do you identify the increasing intervals on a graph?

Back

Increasing intervals can be identified by observing where the graph rises as you move from left to right.

Front

How do you identify the decreasing intervals on a graph?

Back

Decreasing intervals can be identified by observing where the graph falls as you move from left to right.

Front

What is the significance of critical points on a graph?

Back

Critical points are where the function changes from increasing to decreasing or vice versa, indicating potential maximum or minimum values.