Graphs of Logarithmic Functions

Front

What is the coordinate through which the function a^x always passes?

Back

(0, 1)

Front

Which type of function has a vertical asymptote?

Back

Logarithmic functions have a vertical asymptote.

Front

What are logarithmic functions the inverse of?

Back

Exponential functions.

Front

How would you classify the graph of a function that increases rapidly without bound?

Back

Exponential Growth.

Front

Which type of function has a horizontal asymptote?

Back

Exponential functions have a horizontal asymptote.

Front

What is the general form of a logarithmic function?

Back

y = log_b(x), where b is the base.

Front

What is the domain of a logarithmic function?

Back

The domain is (0, ∞).

Front

What is the range of a logarithmic function?

Back

The range is (-∞, ∞).

Front

What happens to the value of a logarithmic function as x approaches 0 from the right?

Back

The value approaches -∞.

Front

What is the base of the natural logarithm?

Back

The base of the natural logarithm is e (approximately 2.718).