Exponential Graphs

Front

What is the asymptote of y = 2^x?

Back

y = 0

Front

What is the asymptote of y = 2^x - 3?

Back

y = -3

Front

What is the y-intercept of the graph y = 4^x + 2?

Back

(0, 3)

Front

What does the graph of an exponential function look like?

Back

It increases rapidly and approaches the horizontal asymptote.

Front

What is the base of an exponential function?

Back

The base is the constant that is raised to a power (e.g., in y = a^x, 'a' is the base).

Front

What happens to the graph of y = a^x as x approaches negative infinity?

Back

The graph approaches the horizontal asymptote (y = 0).

Front

How does changing the base of an exponential function affect its graph?

Back

A larger base results in a steeper graph, while a smaller base (greater than 1) results in a flatter graph.

Front

What is the general form of an exponential function?

Back

y = a * b^x, where 'a' is a constant and 'b' is the base.

Front

What is the effect of adding a constant to an exponential function, such as y = 2^x + k?

Back

It shifts the graph vertically by 'k' units.

Front

What is the domain of an exponential function?

Back

The domain is all real numbers (-∞, ∞).