Exploring End Behavior of Exponential Functions

What is the end behavior of an exponential function when the graph points upwards?

• Approaches zero

• Remains constant

• Approaches positive infinity

• Approaches negative infinity

What does it mean for the graph of an exponential function to be 'on the asymptote'?

• The graph crosses the x-axis

• The graph oscillates around the x-axis

• The graph touches and follows a horizontal line

• The graph becomes a straight line

What happens to the end behavior if the graph of an exponential function lies on the asymptote?

• It approaches the value of the asymptote

• It goes to positive infinity

• It goes to negative infinity

• It becomes undefined

When analyzing the end behavior as x approaches negative infinity, why do we focus on the left side of the graph?

• Because x values are positive there

• Because x values are negative there

• Because x values are zero there

• Because the graph is symmetrical

As x approaches negative infinity and the graph is on the asymptote, what is the y-value of the asymptote in the discussed example?

• y = 2

• y = 1

• y = 0

• y = 3

If the left side of the graph is pointing up as x approaches negative infinity, what can be inferred about the end behavior?

• Approaches zero

• Approaches negative infinity

• Approaches positive infinity

• Becomes undefined

What is the behavior of the graph's right side as x approaches positive infinity when it points upwards?

• Approaches positive infinity

• Approaches negative infinity

• Remains constant

• Approaches zero

What is indicated by a graph that points down as x approaches positive infinity?

• Becomes undefined

• Approaches negative infinity

• Approaches zero

• Approaches positive infinity

In the scenario where the graph's left side points down as x approaches negative infinity, what is the end behavior?

• Becomes undefined

• Approaches negative infinity

• Approaches positive infinity

• Approaches zero

If the right side of the graph is on the asymptote as x approaches positive infinity, what is the y-value of the asymptote in the final example?

• y = 6

• y = 4

• y = 5

• y = 7