Transformations of Exponential Functions

Front

What is 'a', the initial value, for the function: f(x) = 300(1.16)^x?

Back

300

Front

In an exponential function, what does the 'a' represent?

Back

Y-INTERCEPT

Front

What is the y-intercept of the function f(x) = 3(2)^x?

Back

3

Front

What does the base 'b' represent in the function f(x) = a(b)^x?

Back

The growth or decay factor.

Front

If f(x) = 5(1.2)^x, what is the growth factor?

Back

1.2

Front

What is the general form of an exponential function?

Back

f(x) = a(b)^x

Front

How does the value of 'a' affect the graph of an exponential function?

Back

It determines the initial value or starting point of the graph.

Front

What happens to the graph of f(x) = 2(3)^x as x increases?

Back

It increases rapidly due to exponential growth.

Front

What is the effect of a negative base in an exponential function?

Back

It results in oscillating values and is not a standard exponential function.

Front

What is the domain of an exponential function?

Back

All real numbers.