Exponential Functions Pre-Test

Front

What is an exponential function?

Back

Front

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

Back

An exponential function can be identified if, as 'x' increases by 1, 'y' is multiplied by a constant factor.

Front

What is the formula for exponential decay?

Back

Front

What is the formula for exponential growth?

Back

Front

What does the base of an exponential function represent?

Back

The base of an exponential function indicates the growth or decay factor. If the base is greater than 1, it represents growth; if between 0 and 1, it represents decay.

Front

Write the function for a population that decreases by 5% each year starting from 500.

Back

Front

What is the explicit formula for the nth term of a geometric sequence?

Back

Front

Identify the common ratio in the sequence {4, 12, 36, 108,...}.

Back

The common ratio is 3, as each term is multiplied by 3 to get the next term.

Front

What is exponential growth?

Back

Exponential growth occurs when a quantity increases by a consistent percentage over equal time intervals, resulting in a rapid increase.

Front

What is exponential decay?

Back

Exponential decay occurs when a quantity decreases by a consistent percentage over equal time intervals, resulting in a rapid decrease.