Graphs of Logarithmic Functions

In this lesson, we will look at the graphs of logarithmic functions.

Example:

Given f(x) = log a (x) , a > 0 and a ≠ 1.

a) Find the domain and range of the function f(x)

b) Find the vertical asymptote.

c) Find the x and y intercepts of the graph (if any)

Solution:

a) Since x > 0, the domain is (0, + ∞ ). The range is ( – ∞ , + ∞ )

b) The vertical asymptote is at x = 0

c) The x-intercept is (1, 0) and there is no y-intercept.

Videos

Graphing logarithmic functions -
Professor Edward Burger explains graphing logarithmic functions.

Matching logarithmic functions with their graphs -
Professor Edward Burger explains matching logarithmic functions with their graphs.

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