Activity 22 & 23 Review - Exponential Functions

Front

What is an exponential function?

Back

Front

How do you identify exponential growth?

Back

Exponential growth occurs when the rate of change of a quantity is proportional to its current value, leading to a rapid increase. In an exponential function, the base of the exponent is greater than 1.

Front

How do you identify exponential decay?

Back

Exponential decay occurs when the rate of change of a quantity is proportional to its current value, leading to a rapid decrease. In an exponential function, the base of the exponent is between 0 and 1.

Front

What is the formula for exponential growth?

Back

Front

What is the formula for exponential decay?

Back

Front

What does the variable 'r' represent in exponential functions?

Back

'r' represents the rate of growth or decay in an exponential function, expressed as a decimal.

Front

How do you convert a decay rate to a percentage?

Back

To convert a decay rate 'r' to a percentage, multiply 'r' by 100. For example, if r = 0.35, the decay rate is 35%.

Front

What is the significance of the base in an exponential function?

Back

The base of an exponential function determines the rate of growth or decay. A base greater than 1 indicates growth, while a base between 0 and 1 indicates decay.

Front

What is the difference between linear and exponential functions?

Back

Linear functions have a constant rate of change, while exponential functions have a rate of change that increases or decreases proportionally to the current value.

Front

How can you tell if a table of values represents an exponential function?

Back

If the ratio of consecutive values is constant, the table represents an exponential function. If the difference between consecutive values is constant, it represents a linear function.