Comparing Exponential Functions Behavior

The video tutorial explores the characteristics of exponential functions, focusing on how changes in the base affect the growth rate and graph behavior. It covers exponential growth with different bases, including base 3, base 1, and bases less than 1. The tutorial explains how larger bases lead to faster growth, while bases less than 1 result in a mirror image of the function. The video provides a comprehensive understanding of exponential functions and their graphical representations.

What is the primary focus of exponential functions?

• Logarithmic growth

• Exponential growth

• Quadratic growth

• Linear growth

How does the function y = 3^x behave as x increases?

• It decreases slowly

• It increases rapidly

• It remains constant

• It decreases rapidly

What is the behavior of y = 3^x as x becomes negative?

• It remains constant

• It increases rapidly

• It decreases rapidly

• It decreases slowly

What happens to the growth rate when the base changes from 3 to 2 in y = 2^x?

• The function becomes linear

• The growth rate increases

• The growth rate decreases

• The growth rate remains the same

What is the behavior of y = 2^x as x becomes negative?

• It increases rapidly

• It decreases slowly

• It decreases rapidly

• It remains constant

How does the function y = 1.5^x compare to y = 2^x?

• It grows faster

• It grows at the same rate

• It does not grow

• It grows slower

What happens to the function y = 1.5^x as x becomes negative?

• It increases rapidly

• It decreases slowly

• It remains constant

• It decreases rapidly

What is the nature of the function y = 1^x?

• It is a rapidly increasing function

• It is a constant function

• It is a decreasing function

• It is a quadratic function

What is the result of raising 1 to any power?

• It results in 0

• It results in a negative number

• It results in the power itself

• It results in 1

What is the effect of a base of 1 on the function's graph?

• It creates a decreasing graph

• It creates a constant graph

• It creates a rapidly increasing graph

• It creates a quadratic graph