Identify Exponential Growth or Decay

Front

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

Back

The initial amount, a, is 300.

Front

What type of function is y = 7(5/4)^x?

Back

Exponential Growth.

Front

Classify the model A=1200(0.85)^6 as Exponential GROWTH or DECAY.

Back

Decay.

Front

What type of function is f(x)=2(1/7)^x?

Back

Exponential Decay.

Front

What is the general form of an exponential growth function?

Back

f(x) = a(b)^x, where a > 0 and b > 1.

Front

What is the general form of an exponential decay function?

Back

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

Front

In the function f(x) = 500(0.9)^x, what does 0.9 represent?

Back

The decay factor, indicating a decrease of 10%.

Front

How can you identify exponential growth from a graph?

Back

The graph rises sharply and continuously as x increases.

Front

How can you identify exponential decay from a graph?

Back

The graph falls sharply and continuously as x increases.

Front

What does the base of an exponential function indicate?

Back

The rate of growth (if > 1) or decay (if < 1).