Exponential Functions Key Features

Front

What is the Domain of an exponential function?

Back

All Real Numbers

Front

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

Back

y-intercept (initial value)

Front

What is the y-intercept of the function y = 2^x when x = 0?

Back

3

Front

What is the equation of the asymptote for the function y = 2^x?

Back

y = 0

Front

What is the domain and range of the function y = 2^x?

Back

Domain: All Real Numbers; Range: y > 0

Front

What is the general form of an exponential function?

Back

y = a * b^x, where a is the initial value and b is the base.

Front

What does the base 'b' in an exponential function indicate?

Back

The growth (b > 1) or decay (0 < b < 1) rate of the function.

Front

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

Back

It shifts the graph vertically; a positive 'a' shifts it up, and a negative 'a' shifts it down.

Front

What is the range of an exponential function?

Back

y > 0 for all exponential functions.

Front

What happens to the value of y as x approaches negative infinity in an exponential function?

Back

y approaches 0.