1 / 9

Graphing Log Functions

Graphing Log Functions. Pre-Calculus. Graphing Logarithms. Objectives: Make connections between log functions and exponential functions Construct a table of values for a log function Graph a log function Vocabulary: logarithms, natural logarithms. Graphing Logarithms.

hedva
Download Presentation

Graphing Log Functions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Graphing Log Functions Pre-Calculus

  2. Graphing Logarithms Objectives: • Make connections between log functions and exponential functions • Construct a table of values for a log function • Graph a log function Vocabulary: logarithms, natural logarithms

  3. Graphing Logarithms How do you graph a logarithmic function? Graph f(x) = log3x This is the inverse of g(x) = 3x g(x) = 3x x g(x) x f(x) -2 -1 0 1 2 1/9 1/3 1 3 9 1/9 1/3 1 3 9 -2 -1 0 1 2 f(x) = log3x

  4. Steps to Graph a Log Function • Condense your log function. • Rewrite the function as an exponential equation • Make a table for exponential function • Invert values for log function • Plot the points • Connect with a curve

  5. Graph the equation: Are there restrictions on the domain and range?

  6. Graphing Logarithms Use natural log and ex as rule. Domain of f(x) = ex All reals Range of f(x) = ex Positive reals Domain of f-1(x) = lnx Positive reals Range of f-1(x) = lnx All reals If this works as a general rule… how will the shifting of the exponential or log affect the domain and range?

  7. Graph the equation: Domain and Range?

  8. Graph the equation: Domain and Range?

  9. Homework • P.57-P.58 in Workbook

More Related