Math Problem Statement

graph log2(x+13)

Solution

Here's the graph of the function y=log2(x+13)y = \log_2(x + 13).

  • The vertical red dashed line at x=13x = -13 represents the asymptote.
  • The blue curve shows the behavior of the logarithmic function as it increases to the right of the asymptote.

Do you want any more details or have any questions?

Here are some related questions you might find interesting:

  1. How does shifting the function log2(x)\log_2(x) horizontally affect its graph?
  2. What is the difference between log2(x)\log_2(x) and log10(x)\log_{10}(x) in terms of their graphs?
  3. How do you determine the domain and range of a logarithmic function?
  4. What happens to the graph of y=log2(x+13)y = \log_2(x + 13) if the base is changed to 10?
  5. How can we graph y=log2(2x+13)y = \log_2(2x + 13), and how does it compare to y=log2(x+13)y = \log_2(x + 13)?

Tip: When graphing logarithmic functions, always check the domain first to avoid undefined regions.

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Math Problem Analysis

Mathematical Concepts

Logarithmic Functions
Graphing Functions

Formulas

Logarithm base 2: \( \log_2(x) \)

Theorems

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Suitable Grade Level

Grades 10-12