Graphing and Writing Exponential Functions

Front

What is the domain of an exponential function?

Back

All Real Numbers.

Front

Write the general form of an exponential function.

Back

Front

What does the base of an exponential function determine?

Back

The base determines the rate of growth or decay. If b > 1, it's growth; if 0 < b < 1, it's decay.

Front

How do you identify exponential growth from a function?

Back

Exponential growth occurs when the base b > 1.

Front

How do you identify exponential decay from a function?

Back

Exponential decay occurs when the base 0 < b < 1.

Front

What is the equation for continuous growth?

Back

Front

What is the difference between exponential growth and linear growth?

Back

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

Front

Write an exponential function for an investment of $1500 increasing at 3.5%.

Back

Front

What is the formula for exponential decay?

Back

Front

What is the y-intercept of an exponential function?

Back