Exponential Growth and Decay

Front

What is exponential growth?

Back

Front

What is exponential decay?

Back

Front

How can you identify an exponential function from a table of values?

Back

In a table of values, an exponential function will show a constant ratio between consecutive outputs (y-values) when the inputs (x-values) are evenly spaced.

Front

What is the difference between linear and exponential functions?

Back

Front

What does the base of an exponential function indicate?

Back

The base of an exponential function indicates the growth or decay factor. 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 general form of an exponential function?

Back

Front

How do you determine if a graph represents exponential growth or decay?

Back

A graph represents exponential growth if it rises steeply as x increases, and it represents exponential decay if it falls steeply as x increases.

Front

What is the significance of the initial value in an exponential function?

Back

The initial value (often denoted as 'a') in an exponential function represents the starting amount before any growth or decay occurs.

Front

What does it mean if an exponential function has a base of 0.5?

Back

If an exponential function has a base of 0.5, it indicates that the function represents exponential decay, reducing the quantity by half for each unit increase in x.

Front

How can you tell if an equation is linear or exponential?

Back