6.2--Flashcardizz

Front

What is exponential decay?

Back

Front

What does the base of an exponential function indicate?

Back

Front

What is the initial value in an exponential function?

Back

Front

What is an asymptote in the context of exponential functions?

Back

An asymptote is a line that the graph of a function approaches but never touches. For exponential decay, the horizontal asymptote is typically y = 0.

Front

How can you identify if an exponential function is increasing or decreasing?

Back

An exponential function is increasing if the base is greater than 1 (b > 1) and decreasing if the base is between 0 and 1 (0 < b < 1).

Front

What is the range of an exponential function?

Back

Front

What is the formula for exponential growth?

Back

Front

What is the formula for exponential decay?

Back

Front

What does it mean if an exponential function has a decay factor of 0.20?

Back

A decay factor of 0.20 means that the quantity decreases to 20% of its previous value in each time period.

Front

What is the significance of the constant ratio in exponential functions?

Back

The constant ratio in exponential functions indicates the factor by which the function value changes for each unit increase in x. For growth, it is greater than 1; for decay, it is less than 1.