Exponential Growth or Decay?

Front

What is exponential growth?

Back

Exponential growth occurs when a quantity increases by a consistent percentage over a period of time, resulting in a rapid increase.

Front

What is exponential decay?

Back

Exponential decay occurs when a quantity decreases by a consistent percentage over a period of time, leading to a rapid decrease.

Front

What is the initial value in the function f(x) = 300(1.16)^x?

Back

The initial value is 300.

Front

How can you identify exponential growth in a function?

Back

Exponential growth can be identified if the base of the exponent is greater than 1.

Front

How can you identify exponential decay in a function?

Back

Exponential decay can be identified if the base of the exponent is between 0 and 1.

Front

What does the base represent in an exponential function?

Back

The base represents the growth or decay factor in the function.

Front

Classify the model A=1200(0.85)^6 as growth or decay.

Back

Decay.

Front

Which of the following is an example of exponential growth: y = 8(1.05)^t or y = 8(0.95)^t?

Back

y = 8(1.05)^t is an example of exponential growth.

Front

What is the general form of an exponential growth function?

Back

The general form is f(x) = a(b)^x, where a > 0 and b > 1.

Front

What is the general form of an exponential decay function?

Back

The general form is f(x) = a(b)^x, where a > 0 and 0 < b < 1.