Short Answer

Vertical Intercepts in Urban Density Models

A city planner is using the function y=log2(x)y = \log_2(x) to model the rate of change in urban density over a specific area. When plotting this function on a coordinate plane, the planner observes that the curve approaches the vertical yy-axis but never touches it. Based on the properties of this type of function, identify the number of yy-intercepts present on the graph and state the specific restriction on the input xx that explains why this occurs.

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Updated 2026-05-22

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