Math 1 Unit 6 Review

Front

What characterizes an exponential function?

Back

An exponential function is characterized by a constant rate of growth or decay, typically expressed in the form y = a(b^x), where 'a' is a constant, 'b' is the base, and 'x' is the exponent.

Front

What is the difference between exponential growth and exponential decay?

Back

Exponential growth occurs when the base 'b' in the function y = a(b^x) is greater than 1, while exponential decay occurs when 'b' is between 0 and 1.

Front

Back

Exponential Growth.

Front

Back

Exponential Decay.

Front

How can you determine if a function is exponential decay?

Back

If the base of the exponent is less than 1, the function represents exponential decay.

Front

What does the base of an exponential function indicate?

Back

The base indicates the growth or decay factor; if the base is greater than 1, the function grows; if it is between 0 and 1, the function decays.

Front

What is the general form of an exponential function?

Back

The general form is y = a(b^x), where 'a' is a constant, 'b' is the base, and 'x' is the exponent.

Front

What happens to the value of an exponential function as x increases when b > 1?

Back

The value of the function increases rapidly as x increases.

Front

What happens to the value of an exponential function as x increases when 0 < b < 1?

Back

The value of the function decreases rapidly as x increases.

Front

Provide an example of exponential growth.

Back

An example is y = 2(3^x), where the base 3 indicates growth.