Exploring Exponential Functions: Growth and Decay

What is the minimum value that the base 'B' of an exponential function can take?

• B >= 1

• B > 0

• B <= 1

• B < 0

For exponential growth, the base 'B' must be:

• Less than 1

• Equal to 0

• Greater than 1

• Equal to 1

If the base 'B' is less than 1, the function models:

• Exponential growth

• Exponential decay

• Linear growth

• Linear decay

What does the 'A' value in an exponential function indicate?

• The slope of the graph

• The y-intercept of the graph

• The x-intercept of the graph

• The maximum value of the function

What is the primary difference between exponential growth and decay in terms of the base 'B'?

• Both growth and decay have B < 1

• Growth has B > 1, decay has B < 1

• Both growth and decay have B > 1

• Growth has B < 1, decay has B > 1

In the context of exponential growth, what does a 14% annual increase mean for the function's formula?

• Multiply the base by 0.14

• Add 0.14 to the base

• Subtract 0.14 from the base

• Divide the base by 0.14

How long did it take for the value of the guitar to reach $60,000?

• About 15 years

• About 10 years

• About 17 years

• About 12 years

What is the annual percentage decrease in the value of the truck?

• 12%

• 9.5%

• 10%

• 14%

How many years will it take for the truck's value to fall to about $5,000?

• About 15 years

• About 17.3 years

• About 12 years

• About 20 years

What does the function 'F(T) = A(1 - R)^T' model in the context of the truck's value?

• Linear growth

• Linear decay

• Exponential decay

• Exponential growth