Exploring Exponential Growth and Decay in Algebra 2

What happens to Alice's height each time she drinks from the bottle?

• It decreases by a fixed amount

• It remains the same

• It doubles

• It decreases by half

What is the initial height of Alice before she starts drinking from the bottle?

• 12 inches

• 24 inches

• 48 inches

• 3 inches

What kind of function best describes the change in Alice's height as she drinks from the bottle?

• Exponential decay

• Quadratic function

• Exponential growth

• Linear function

What does the graph of Alice's height as she drinks from the bottle approach but never reaches?

• A height of 10 inches

• The y-axis

• The x-axis

• Infinity

After eating cake, what happens to Alice's height with each bite?

• It decreases by half

• It increases by a fixed amount

• It doubles

• It remains constant

What is Alice's height after the first bite of cake?

• 24 inches

• 3 inches

• 6 inches

• 12 inches

What type of function represents the change in Alice's height as she eats cake?

• Exponential decay

• Quadratic function

• Linear function

• Exponential growth

In exponential growth, what is the condition for the growth rate (b)?

• b is less than 0

• b equals 1

• b is less than 1

• b is greater than 1

What is the general equation for exponential functions?

• y = a + b^x

• y = a * b^x

• y = a / b^x

• y = ax + b

In the context of the video, what does the 'a' in the exponential function equation represent?

• The growth rate

• The number of steps or bites

• The final height

• The initial value or starting height