Exponential Functions

Front

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

Back

Y-INTERCEPT

Front

How does an exponential function differ from a linear function?

Back

An exponential function increases or decreases at a rate proportional to its current value, while a linear function increases or decreases by a constant amount.

Front

What is the general form of an exponential function?

Back

Front

What is exponential growth?

Back

Exponential growth occurs when the growth rate of a value is proportional to its current value, leading to rapid increases.

Front

What is exponential decay?

Back

Exponential decay occurs when a quantity decreases at a rate proportional to its current value.

Front

Classify the model: A=1200(0.85)^6. Is it growth or decay?

Back

Decay

Front

Back

The y-intercept is 3.

Front

If a function increases by a constant amount each year, what type of function is it?

Back

Linear

Front

Write the equation that models the data: A population doubles every year starting from 100. What is the equation?

Back

Front

What is the common ratio in an exponential function?

Back

The common ratio is the factor by which the function's value multiplies for each unit increase in x.