End Behavior of Functions

The video tutorial explains how to determine the end behavior of exponential functions by analyzing the behavior of x and y values on both the left and right sides of the graph. It discusses how x values approach negative and positive infinity and how y values approach specific asymptotes. Two examples are provided to illustrate these concepts.

What is the main focus when discussing the end behavior of exponential functions?

• The middle of the graph

• The ends of the graph

• The shape of the graph

• The color of the graph

What happens to x-values on the left side of the graph?

• They remain constant

• They approach negative infinity

• They approach positive infinity

• They approach zero

As x approaches positive infinity, what happens to the x-values on the right side of the graph?

• They approach zero

• They approach negative infinity

• They remain constant

• They approach positive infinity

What determines the change in y-values in relation to the graph's arrows?

• The size of the graph

• The direction of the arrows

• The color of the graph

• The shape of the graph

In the first example, as x approaches negative infinity, what does y approach?

• Four

• Zero

• Negative infinity

• Positive infinity

In the first example, as x approaches positive infinity, what does y approach?

• Positive infinity

• Four

• Negative infinity

• Zero

In the second example, as x approaches negative infinity, what does y approach?

• Negative infinity

• Positive infinity

• Zero

• Two

In the second example, as x approaches positive infinity, what does y approach?

• Positive infinity

• Zero

• Negative infinity

• Two

What is the role of an asymptote in determining y-values?

• It is a reference point for y-values

• It determines the direction of the graph

• It changes the x-values

• It has no role

What happens to y-values if the arrow points down?

• They approach zero

• They approach positive infinity

• They approach negative infinity

• They remain constant