EXPONENTIAL GRAPHS

Front

What type of equation is y = 2^x?

Back

Exponential

Front

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

Back

Exponential Growth

Front

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

Back

Exponential Decay

Front

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

Back

y = 0

Front

As x approaches infinity in an exponential growth function, what happens to f(x)?

Back

f(x) approaches infinity (∞).

Front

What is the general form of an exponential function?

Back

f(x) = a * b^x, where a is a constant and b is the base.

Front

What is the base of an exponential function?

Back

The base is the constant that is raised to the power of x.

Front

What is the difference between linear and exponential growth?

Back

Linear growth increases by a constant amount, while exponential growth increases by a constant percentage.

Front

What is an example of a real-world situation that can be modeled by an exponential function?

Back

Population growth, radioactive decay, and compound interest.

Front

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

Back

The y-intercept is (0, 1).