Exponential Functions

Front

What is an exponential function?

Back

Front

What does it mean for a value to decrease exponentially?

Back

A value decreases exponentially when it reduces by a constant percentage over equal intervals of time. For example, if a truck loses 15% of its value every five years, its value decreases exponentially.

Tags

CCSS.HSF-IF.C.8B

Front

How do you express the value of an asset after a certain time with exponential decay?

Back

Front

What is the half-life of a substance?

Back

The half-life of a substance is the time required for half of the substance to decay or be reduced to half its initial amount. For example, carbon-14 has a half-life of about 5,730 years.

Front

How do you calculate the monthly growth factor from an annual growth rate?

Back

Front

What is the general form of an exponential growth equation?

Back

Front

What is the difference between exponential growth and linear growth?

Back

Exponential growth increases at a rate proportional to its current value, leading to faster increases over time, while linear growth increases by a constant amount.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Front

How do you solve exponential equations?

Back

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.

Tags

CCSS.HSF-IF.C.8B

Front

How do you express the decay of a substance over time?

Back