1 / 7

Graphing Logarithmic Functions for Beginners

Learn how to plot and graph logarithmic functions with examples and step-by-step solutions. Understand domain, range, and curve movements.

pduncan
Download Presentation

Graphing Logarithmic Functions for Beginners

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. log a. y x = 3 EXAMPLE 7 Graph logarithmic functions Graph the function. SOLUTION Plot several convenient points, such as (1, 0), (3, 1), and (9, 2). The y-axis is a vertical asymptote. From left to right, draw a curve that starts just to the right of the y-axis and moves up through the plotted points, as shown below.

  2. log b. y x = 1/2 EXAMPLE 7 Graph logarithmic functions Graph the function. SOLUTION Plot several convenient points, such as (1, 0), (2, –1), (4, –2), and (8, –3). The y-axis is a vertical asymptote. From left to right, draw a curve that starts just to the right of the y-axis and moves down through the plotted points, as shown below.

  3. Graph . State the domain and range. y (x + 3) + 1 = log log 2 2 Sketch the graph of the parent function y = x, which passes through (1, 0), (2, 1), and (4, 2). EXAMPLE 8 Translate a logarithmic graph SOLUTION STEP 1 STEP 2 Translate the parent graph left 3 units and up 1 unit. The translated graph passes through (–2, 1), (–1, 2), and (1, 3). The graph’s asymptote is x = –3. The domain is x > –3, and the range is all real numbers.

  4. log 16. y x = 5 If x = 1 y = 0, x = 5 y = 1, x = 10 y = 2 Plot several convenient points, such as (1, 0), (5, 1), and (10, 2). The y-axis is a vertical asymptote. for Examples 7 and 8 GUIDED PRACTICE Graph the function. State the domain and range. SOLUTION

  5. for Examples 7 and 8 GUIDED PRACTICE From left to right, draw a curve that starts just to the right of the y-axis and moves up through the plotted points. The domain is x > 0, and the range is all real numbers.

  6. log 17. y (x – 3) = 1/3 for Examples 7 and 8 GUIDED PRACTICE Graph the function. State the domain and range. SOLUTION domain: x > 3, range: all real numbers

  7. log 18. y (x + 1) – 2 = 4 for Examples 7 and 8 GUIDED PRACTICE Graph the function. State the domain and range. SOLUTION domain: x > 21, range: all real numbers

More Related