Introduction to Exponential Functions

Front

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

Back

INITIAL AMOUNT

Front

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

Back

GROWTH OR DECAY FACTOR

Front

What type of function is y = 7(6.25)^x?

Back

Exponential Growth

Front

What is the initial amount for the function: f(x) = 300(1.16)^x?

Back

300

Front

What is an exponential function?

Back

A function of the form f(x) = a(b^x), where 'a' is the initial amount and 'b' is the growth/decay factor.

Front

What is the general form of an exponential growth function?

Back

f(x) = a(b^x) where b > 1.

Front

What is the general form of an exponential decay function?

Back

f(x) = a(b^x) where 0 < b < 1.

Front

How do you identify exponential growth from a graph?

Back

The graph rises steeply as x increases.

Front

How do you identify exponential decay from a graph?

Back

The graph falls steeply as x increases.

Front

What is the value of 'b' in the function f(x) = 200(0.5)^x?

Back

0.5 (indicating decay).