Lesson 3.2 Read: Pages 207-209 3.2 Handout 1-49 (ODD), 55, 59, 63, 68, 69-75 (ODD)

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Presentation transcript:

Lesson 3.2 Read: Pages Handout 1-49 (ODD), 55, 59, 63, 68, (ODD)

Logarithmic Function and Their Graphs Objective Students will know how to recognize, graph, and evaluate logarithmic functions.

Common Logarithm - a logarithm with base 10. log 10 orlog Natural Logarithm - a logarithm with base e. log e orln

Write each of the following equations in exponential form.

Write each of the following equations in logarithmic form.

Simplify each of the following expressions.

Find the value of x in each of the following equations. Write all answers in simplest form.

Solve for x. Give an exact answer, and then use a calculator to round that answer to the nearest thousandth.

Graphs of Logarithmic Functions Step 1: Step 2: Use your value of h (horizontal shift) to relocate your vertical asymptote. Use your transformations to relocate the point (1,0). Step 3: Plot a point to the right and left of the relocated point (1,0). Step 4: Sketch your graph.

(a) Use transformations to sketch the graph of the function. Clearly label any asymptotes. (b) State the domain and range of the function. (c) State whether the graph is increasing or decreasing.

Algebraically find the domain of each of the following functions.