Graphs of Logarithmic Functions Worksheet with Answer Key

What's on the worksheet

1. Give the vertical asymptote, domain and x-intercept of each graph.
   y = \log_4(x - 3)y = -\log_5 x + 2y = 3\ln(x - 1) + 6y = \log(x + 2) + 1
2. Say if each graph rises or falls and what y does near the asymptote from the right.
   y = \log_{1/2}(x - 2)y = -3\log_{1/4} xy = -\ln(x + 1) + 5y = 2\log_{2/3}(x + 4) - 1
3. Give the asymptote and domain of a log graph and find the point at height 2.
4. Word problem: Andre's chess puzzle rating after weeks of practice.
5. Sketch a log graph with base one half from the parent's key points.
6. Find the rule of the log graph in the figure from its asymptote and three points.