Short Answer

Visual Comparison of Exponential Growth Models

A logistics assistant is preparing a presentation to compare two inventory growth projection models on a single coordinate system. Model A is represented by the function f(x)=2xf(x) = 2^x and Model B is represented by g(x)=3xg(x) = 3^x. To help the team understand how these two curves compare visually, the assistant needs to state the relative behavior of their graphs.

Briefly describe the two key differences between the graphs of f(x)=2xf(x) = 2^x and g(x)=3xg(x) = 3^x on the same coordinate plane:

  1. How do the graphs compare for positive values of xx (as xx increases)?
  2. How do the graphs compare for negative values of xx (as xx becomes more negative)?

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Updated 2026-06-02

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