Intervals of Increase and Decrease

The video tutorial explains how to determine where a function is increasing or decreasing by analyzing the graph from left to right. It emphasizes the importance of focusing on the x-axis rather than the y-axis to identify intervals of increase and decrease. The tutorial provides specific examples, such as intervals from negative infinity to negative 2 and from 1.5 to positive infinity for increasing, and from negative 2 to 1.5 for decreasing.

What is the primary focus when determining if a function is increasing or decreasing?

• The y-axis

• The x-axis

• The slope of the line

• The color of the graph

When analyzing a graph, in which direction should you look to determine if a function is increasing?

• Bottom to top

• Right to left

• Top to bottom

• Left to right

What is the first interval of increase mentioned in the video?

• 1.5 to positive infinity

• Negative infinity to negative 2

• Negative infinity to 1.5

• Negative 2 to 1.5

What is the significance of the x-axis in determining intervals of increase?

• It shows the maximum value

• It indicates the direction of increase

• It is irrelevant

• It helps identify the starting and ending points

What is the second interval of increase?

• 0 to 1.5

• 1.5 to positive infinity

• Negative 2 to 1.5

• Negative infinity to negative 2

What symbol is used to combine multiple intervals of increase?

• Union symbol

• Multiplication symbol

• Addition symbol

• Intersection symbol

How is the concept of decreasing intervals introduced?

• As a vertical drop

• As a flat line

• As sliding down a hill

• As climbing a hill

Where does the interval of decrease begin?

• At x = 1.5

• At x = positive infinity

• At x = 0

• At x = negative 2

What is the interval of decrease mentioned in the video?

• 1.5 to positive infinity

• Negative 2 to 1.5

• Negative infinity to negative 2

• 0 to 1.5

What should you avoid looking at when determining intervals of increase or decrease?

• The x-axis

• The graph's color

• The y-axis

• The slope