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SFM Productions Presents:

A comprehensive homework assignment covering logarithmic functions and their graphs, including properties, equations, intercepts, asymptotes, and domain/range calculations.

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SFM Productions Presents:

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  1. SFM Productions Presents: Another saga in your continuing Pre-Calculus experience! 3.2 Logarithmic Functions and their Graphs

  2. Homework for section 3.2 p234 #7-31, 37-41, 51-65, 85-91, 95, 97

  3. exponential horizontal Asymptote y = 0 vertical asymptote x = 0 logarithmic

  4. A logarithmic function with base “a”: is denoted by: if and only if:

  5. A logarithm is an exponent. A logarithm is an exponent. A logarithm is an exponent. A logarithm is an exponent. A logarithm is an exponent. A logarithm is an exponent. exponent. is logarithm

  6. The two equationsare equivalent… Use one to solve the other…and use the other to solve the one…depending upon which one you need to solve. is the same as: is the same as: is the same as: is the same as: is the same as: is the same as:

  7. Properties of Common Logarithms logarithmic exponential All this stuff works with e and ln, too.

  8. Properties of Natural Logarithms logarithmic exponential

  9. Another Property of Common and Natural Logarithms

  10. For all: f(x) = logax Domain: Range: Intercept: VA: Increasing: Decreasing

  11. Shifting f(x) = log2x f(x) = log2x + 3 What is new asymptote??? f(x) = log2x - 4 What is new asymptote???

  12. Shifting f(x) = log2x f(x) = log2(x + 3) What is new asymptote??? f(x) = log2 (x - 4) What is new asymptote???

  13. Your favorite…or is it mine??? Domain On your calculators, do: What can you deduce from this??? You can’t take the log of a negative number, or 0. Common or Natural NCD

  14. Finding domains of log functions…

  15. Go! Do!

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