Exponential Graphs

Front

What is the asymptote of y = 2^x?

Back

y = 0

Tags

CCSS.HSF-IF.C.7E

Front

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

Back

y = -3

Tags

CCSS.HSF-IF.C.7E

Front

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

Back

(0, 3)

Tags

CCSS.HSF-IF.C.7E

Front

What does the graph of an exponential function look like?

Back

It increases rapidly and approaches the horizontal asymptote.

Tags

CCSS.HSF-IF.C.7E

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).

Tags

CCSS.HSF-IF.C.7E

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.

Tags

CCSS.HSF-IF.C.7E

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.

Tags

CCSS.HSF.BF.B.3

Front

What is the domain of an exponential function?

Back

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