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. Example: Population growth.

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. Example: Radioactive decay.

Front

How do you write the square root of x⁵ in exponential form?

Back

x^(5/2)

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

What does the 'a' represent in the function f(x) = a(b^x)?

Back

The 'a' represents the starting value or initial amount of the function.

Front

What is the y-intercept of an exponential function?

Back

The y-intercept is the value of the function when x = 0, which is equal to 'a' in the function f(x) = a(b^x).

Front

Classify the model A=1200(0.85)^6 as Growth or Decay.

Back

Decay, because the base (0.85) is less than 1.

Front

What is the base in an exponential function?

Back

The base is the constant factor that is raised to the power of x, determining the rate of growth or decay.

Front

If a function has a base greater than 1, what type of function is it?

Back

Exponential Growth.

Front

If a function has a base between 0 and 1, what type of function is it?

Back

Exponential Decay.