Exponential Functions and Compound Interest

Front

What is an exponential function?

Back

Front

What is the difference between exponential growth and exponential decay?

Back

Exponential growth occurs when the function increases over time, typically represented by a base greater than 1 (b > 1). Exponential decay occurs when the function decreases over time, represented by a base between 0 and 1 (0 < b < 1).

Front

What is the formula for compound interest?

Back

Front

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

Back

Front

What is a horizontal asymptote?

Back

A horizontal asymptote is a horizontal line that the graph of a function approaches as x approaches positive or negative infinity. For exponential functions, it often represents the value that the function approaches but never reaches.

Front

How do you determine the rate of decay from a percentage loss?

Back

Front

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

Back

The base 'b' in an exponential function determines the rate of growth or decay. If b > 1, the function represents growth; if 0 < b < 1, it represents decay.

Front

Back

Front

How do you find the y-intercept of an exponential function?

Back

Front

What is the general shape of the graph of an exponential decay function?

Back

The graph of an exponential decay function decreases rapidly at first and then levels off, approaching the horizontal asymptote as x increases.