Understanding Exponential Graphs

The video tutorial explains how to determine the end behavior of exponential graphs by analyzing the relationship between X and Y values. It covers two examples, focusing on how X values approaching negative or positive infinity affect Y values. The tutorial highlights the concept of asymptotes and how Y values approach them or infinity.

What is the primary focus when analyzing exponential graphs?

• The size of the graph

• The type of graph paper used

• The relationship between X and Y values

• The color of the graph

As X approaches negative infinity on the left side of the graph, what happens to the Y values?

• They approach zero

• They approach the asymptote

• They become undefined

• They remain constant

What is the significance of the asymptote in analyzing exponential graphs?

• It shows the value Y approaches as X goes to infinity

• It indicates the maximum value of Y

• It determines the color of the graph

• It is irrelevant to the graph

In the first example, what is the Y value of the asymptote on the left side?

• 1

• 3

• 0

• 2

What is the behavior of Y values as X approaches positive infinity on the right side of the graph?

• Y values decrease

• Y values approach zero

• Y values remain constant

• Y values increase towards positive infinity

What does it mean when Y values are 'approaching' a number?

• Y values are oscillating around that number

• Y values are moving away from that number

• Y values are getting closer to that number

• Y values are exactly equal to that number

In the second example, what happens to Y values as X approaches negative infinity on the left side?

• Y values increase

• Y values approach the asymptote

• Y values remain constant

• Y values decrease towards negative infinity

In the second example, what is the behavior of Y values as X approaches positive infinity on the right side?

• Y values decrease

• Y values become undefined

• Y values approach a positive asymptote

• Y values remain constant

In the second example, what is the Y value of the asymptote on the right side?

• Positive one

• Positive two

• Negative one

• Negative two

What is the general trend of Y values as X approaches positive infinity in exponential graphs?

• Y values become undefined

• Y values increase

• Y values remain constant

• Y values decrease