AA2 Analyzing Functions

Front

What are the types of intervals that a graph can demonstrate?

Back

Increasing, Constant, Decreasing

Front

How do you determine the maximum or minimum of a function?

Back

Identify the highest (maximum) or lowest (minimum) point on the graph of the function.

Front

What does it mean for a function to be increasing?

Back

A function is increasing when its output values rise as the input values increase.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing when its output values fall as the input values increase.

Front

What is a constant interval in a function?

Back

An interval where the function's output does not change as the input changes.

Front

How can you identify the intervals of increase and decrease on a graph?

Back

By analyzing the slope of the graph; positive slope indicates increasing, negative slope indicates decreasing.

Front

What is the significance of the maximum value of a function?

Back

It represents the highest point on the graph, indicating the greatest output value.

Front

What is the significance of the minimum value of a function?

Back

It represents the lowest point on the graph, indicating the least output value.

Front

How do you express an interval in interval notation?

Back

Use parentheses for open intervals and brackets for closed intervals, e.g., (a, b) or [a, b].

Front

What does the notation (-∞, -1) U (1, ∞) represent?

Back

It represents the union of two intervals: all values less than -1 and all values greater than 1.