Understanding Graph Behavior: Increasing, Decreasing, and Constant Functions

The video tutorial explains how to analyze graphs by identifying increasing, decreasing, and constant intervals. It emphasizes the importance of moving from left to right on the x-axis to determine the behavior of a function. The tutorial uses engaging language and examples to illustrate these concepts, helping learners understand how to identify and describe the behavior of functions over different intervals.

What are the three types of function behaviors discussed in the video?

• Positive, Negative, and Neutral

• Increasing, Decreasing, and Constant

• Linear, Quadratic, and Exponential

• Continuous, Discrete, and Mixed

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

• Bottom to Top

• Left to Right

• Top to Bottom

• Right to Left

What does it mean if a function is decreasing?

• The function values remain constant as X increases

• The function values are random as X increases

• The function values are going down as X increases

• The function values are going up as X increases

Which variable is considered the independent variable in the context of the video?

• X

• Z

• Y

• W

What is the interval where the function is decreasing according to the video?

• From -4 to 2

• From 2 to infinity

• From -infinity to -4

• From 0 to 4

What characterizes a constant function?

• The function values decrease as X increases

• The function values are random as X increases

• The function values increase as X increases

• The function values remain unchanged as X increases

What is the interval where the function is constant according to the video?

• From -infinity to -4

• From 0 to 4

• From 2 to infinity

• From -4 to 2

What should you resist the urge to get while learning math according to the video?

• A notebook

• A ruler

• A Tech Deck

• A calculator

What is the interval where the function is increasing according to the video?

• From 2 to infinity

• From 0 to 4

• From -4 to 2

• From -infinity to -4

What is the main focus when analyzing the behavior of functions on a graph?

• The dependent variable Y

• The independent variable X

• The intercepts of the graph

• The slope of the graph