Exponential Module 3 Topic 2 Review

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a(b)^x, where 'a' is a constant, 'b' is the base (a positive real number), and 'x' is the exponent.

Front

What does the base of an exponential function represent?

Back

The base of an exponential function determines the rate of growth or decay. If the base is greater than 1, the function represents growth; if the base is between 0 and 1, it represents decay.

Front

What is the decay rate in an exponential function?

Back

The decay rate is the percentage by which the quantity decreases over a unit interval. It can be found by subtracting the base from 1.

Front

Given f(x)=1234(0.85)^x, what is the decay rate?

Back

The decay rate is 15%.

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 the constant 'a' in the function f(x) = a(b)^x.

Front

Given y=45(1.06)^x, what is the value of the y-intercept?

Back

The y-intercept is 45.

Front

What does the 'a' value represent in an exponential function?

Back

The 'a' value represents the initial amount or the y-intercept of the function.

Front

What is the 'a' value in the function f(x)=3(2)^x?

Back

The 'a' value is 3.

Front

What is the difference between growth and decay in exponential functions?

Back

Growth occurs when the base is greater than 1, while decay occurs when the base is between 0 and 1.

Front

Given f(x)=555(0.25)^x, is this an example of growth or decay?

Back

This is an example of decay.