Graph the given function. HINT [See Example 2.] Example 2: a. Sketch the g...

Graph the given function. HINT [See Example 2.]

Example 2:

a. Sketch the graph of f (x) = log2 x by hand.

b. Use technology to compare the graph in part (a) with the graphs of logb x for b = 1/4, 1/2, and 4.

Solutions

Graphing these points and joining them by a smooth curve gives us Figure 14

b. We enter the logarithmic functions in graphing utilities as follows (note the use of the change-of-base formula in the TI-83/84 Plus version):

Figure 15 shows the resulting graphs.