Graphing Exponential Functions - Base e

Front

The special number, natural base 'e', is a ________________ number.

Back

irrational

Front

Describe the behavior of the graph of y = e^(x-2).

Back

The graph shifts to the right by 2 units.

Front

What is the equation of the asymptote for the graph of y = e^x?

Back

y = 0

Front

Back

(0,3)

Front

What is the effect of the transformation y = e^(x+3) on the graph of y = e^x?

Back

It shifts the graph to the left by 3 units.

Front

What is the value of e (approximately)?

Back

e ≈ 2.718.

Front

What is the general form of an exponential function?

Back

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

Front

How does the base of an exponential function affect its growth?

Back

A larger base results in faster growth.

Front

What is the domain of the function y = e^x?

Back

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

Front

What is the range of the function y = e^x?

Back

The range is (0, ∞).