U1T3: Growth/Decay & Percent Rate of Change

Front

What is the percent rate of change in the function f(x)=2(0.95)^x?

Back

5%

Front

Classify the function f(x)=2(0.95)^x as exponential growth or decay.

Back

Exponential Decay

Front

Classify the function f(x)=-7(1.44)^x as exponential growth or decay.

Back

Exponential Growth

Front

Classify the function f(x)=92(0.5)^x as exponential growth or decay.

Back

Exponential Decay

Front

What is the percent rate of change in the function f(x)=6(0.251)^x?

Back

74.9%

Front

Define exponential growth.

Back

Exponential growth occurs when a quantity increases by a consistent percentage over a period of time.

Front

Define exponential decay.

Back

Exponential decay occurs when a quantity decreases by a consistent percentage over a period of time.

Front

What is the general form of an exponential function?

Back

f(x) = a(b)^x, where a is the initial value and b is the growth/decay factor.

Front

If b > 1 in f(x) = a(b)^x, what type of function is it?

Back

Exponential Growth.

Front

If 0 < b < 1 in f(x) = a(b)^x, what type of function is it?

Back

Exponential Decay.