Question

Use complete sentences to analyze the graph of the function f(x) = log x base 1/5.

Part 1 [4 points]: Describe the domain, range, and general shape of this graph.

Part 2 [4 points]: Using complete sentences, explain how plotting specific points helps graph the function and note any critical points such as its intercepts.

Answer 1

The log function has vertical asymptote at x=0
x-intercept at x=1
Because its base 1/5, when x =1/5, y = 1
that should give the general shape of the graph

Answer 2

also you might note that since the base is less than 1, this curve decreases