Graphing Logarithmic Functions

Front

What is the domain of log(x)?

Back

(0, ∞)

Front

Which graph best represents the logarithmic function y=log_4(x)?

Back

The graph of y=log_4(x) is a curve that passes through (1,0) and approaches the y-axis but never touches it.

Front

Classify the following graph: A graph that increases slowly and approaches the x-axis as x increases.

Back

Logarithmic

Front

Logarithmic functions have a restricted _____________.

Back

domain

Front

Exponential functions have a restricted ______________.

Back

range

Front

What is the range of the function y=log(x)?

Back

(-∞, ∞)

Front

What is the base of the natural logarithm?

Back

e (approximately 2.718)

Front

What is the inverse of the logarithmic function y=log_b(x)?

Back

The inverse is the exponential function x=b^y.

Front

What is the vertical asymptote of the function y=log(x)?

Back

x=0 (the y-axis) is the vertical asymptote.

Front

How does the graph of y=log_b(x) change as the base b increases?

Back

The graph becomes steeper as the base b increases.