Exponential Functions Introduction

Front

What does 'a' represent in an exponential function?

Back

INITIAL AMOUNT

Front

What does 'b' represent in an exponential function?

Back

GROWTH OR DECAY FACTOR

Front

In the function y = 3(2.5)^x, what does 2.5 represent?

Back

Growth Factor

Front

Does the equation f(x) = 34(0.05)^x represent growth or decay?

Back

Decay because 0.05 is between 0 and 1

Front

What type of graph does an exponential function with a base greater than 1 represent?

Back

Exponential Growth

Front

What type of graph does an exponential function with a base between 0 and 1 represent?

Back

Exponential Decay

Front

What is the general form of an exponential function?

Back

y = a(b)^x, where 'a' is the initial amount and 'b' is the growth/decay factor.

Front

If a function has a growth factor of 3, what does this indicate?

Back

The function increases by a factor of 3 for each unit increase in x.

Front

What is the y-intercept of an exponential function?

Back

The value of the function when x = 0, which is equal to 'a'.

Front

How do you determine if an exponential function is increasing or decreasing?

Back

Check the base 'b': if b > 1, it's increasing; if 0 < b < 1, it's decreasing.