Exploring Exponential Growth and Decay Concepts

What is the standard form of an exponential function?

• y = a + B^x

• y = a * B^x

• y = a / B^x

• y = a - B^x

How is the growth factor 'B' represented in the equation?

• B = 1 - r

• B = r - 1

• B = 1 / r

• B = 1 + r

What does the variable 'r' represent in the context of exponential growth?

• Initial amount

• Decay rate

• Growth rate

• Growth factor

How do you determine if an exponential function represents growth?

• B is equal to 0

• B is equal to 1

• B is greater than 1

• B is less than 1

What is the decay factor in the equation y = 300 * 0.75^x?

• 0.25

• 0.75

• 1.25

• 300

What is the decay rate if the decay factor is 0.75?

• 1.75

• 1.25

• 0.75

• 0.25

How do you graph an exponential function using a graphing calculator?

• By setting the x-values manually

• By typing the equation directly

• By using the integral function

• By calculating the derivative

What indicates an exponential decay in an equation?

• B value greater than 1

• B value equal to 0

• B value equal to 1

• B value less than 1

What is the initial value in the equation y = 2 * (1.5)^x?

• 0.5

• 2

• 3

• 1.5

Why is it important to have access to a graphing calculator for advanced mathematics?

• To store notes

• To play games

• To graph functions and understand their behavior

• To perform basic arithmetic