Graphs of Exponential Functions

Front

What is the domain of an exponential function?

Back

The domain of an exponential function is (-∞, ∞).

Front

What does the 'a' represent in the equation y = a * b^x?

Back

In an exponential function, 'a' represents the y-intercept.

Front

What is the general form of an exponential function?

Back

The general form is y = a * b^x, where 'a' is the y-intercept and 'b' is the base.

Front

What is the range of an exponential function?

Back

The range of an exponential function is (0, ∞) if a > 0.

Front

What is the end behavior of the function y = 2^x?

Back

As x approaches -∞, y approaches 0; as x approaches ∞, y approaches ∞.

Front

What transformation occurs when the function is y = 2^x - 4?

Back

The graph is shifted down 4 units.

Front

How does the base 'b' affect the growth of an exponential function?

Back

If b > 1, the function grows; if 0 < b < 1, the function decays.

Front

What is the y-intercept of the function y = 3 * 2^x?

Back

The y-intercept is 3.

Front

What does a horizontal asymptote represent in an exponential function?

Back

A horizontal asymptote represents the value that the function approaches as x approaches ±∞.

Front

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

Back

A negative exponent indicates a decay, such as y = 2^(-x) which reflects the graph across the y-axis.