Exponential Functions and Growth Rates

Haley analyzes the exponential function y = 5 * 1.01 ^ x to determine the growth or decay rate. The video explains the components of an exponential function, focusing on the base value to identify growth or decay. Since the base is greater than one, it indicates growth. The video concludes by calculating the growth rate as 1%.

What does the 'a' represent in the exponential function y = a * b ^ x?

• The variable

• The decay rate

• The growth rate

• The initial value

What is the role of 'x' in the exponential function y = a * b ^ x?

• It is the initial value

• It is the growth rate

• It is the variable

• It is the decay rate

In the function y = 5 * 1.01 ^ x, what does the base 1.01 signify?

• The growth factor

• The decay factor

• The variable

• The initial value

If the base of an exponential function is less than 1, what does it indicate?

• Growth

• Decay

• Stability

• Oscillation

Which of the following bases would indicate a decay in an exponential function?

• 1.5

• 2.0

• 1.01

• 0.99

What happens to a number when it is multiplied by a base greater than 1?

• It increases

• It remains the same

• It decreases

• It oscillates

What is the growth rate percentage for the base 1.01?

• 100%

• 10%

• 0.1%

• 1%

How do you express a base of 1.01 as a percentage?

• 1%

• 10%

• 0.01%

• 100%