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 function is increasing from negative infinity to negative 2 and from 1.5 to positive infinity, while it is decreasing from negative 2 to 1.5.

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

• The color of the graph

• The slope of the line

• The x-axis

• The y-axis

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 primary focus when determining intervals of increase and decrease?

• The x-axis

• The color of the graph

• The slope of the graph

• The y-axis

What is the first interval of increase for the function discussed?

• Negative 2 to positive infinity

• Negative infinity to negative 2

• 1.5 to positive infinity

• Negative infinity to 1.5

Why should you not focus on the y-axis when determining intervals of increase?

• Because it is irrelevant

• Because it does not show direction

• Because it is too complex

• Because the x-axis provides interval information

What is the correct way to write the interval of increase from negative infinity to -2?

• [-infinity, -2]

• (-infinity, -2]

• (-infinity, -2)

• [-infinity, -2)

What is the second interval of increase for the function?

• 1.5 to positive infinity

• Negative 2 to 1.5

• Negative infinity to negative 2

• Negative infinity to positive infinity

What symbol is used to combine intervals of increase?

• Intersection symbol

• Plus symbol

• Union symbol

• Minus symbol

What is the correct way to write the interval of increase from 1.5 to positive infinity?

• (1.5, positive infinity)

• [1.5, positive infinity]

• [1.5, positive infinity)

• (1.5, positive infinity]

What does the union symbol represent in the context of intervals?

• Combining two intervals

• Subtracting two intervals

• Multiplying two intervals

• Dividing two intervals