AP Precalculus Quiz
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EXPONENTIAL AND LOGARITHMIC FUNCTIONS
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### Semi-Log Plots and Exponential Growth (Population Growth)
A semi-log plot uses a logarithmic scale on the y-axis and a linear scale on the x-axis (or vice versa). When y changes exponentially with x, the semi-log plot often displays the data as a straight line.
A state records population N each year t. On a linear plot, the curve bends upward as the population grows. On a semi-log plot (log N vs. t), the points form a straight line when the percent growth rate is constant.
Uses of semi-log plots:
- Linearizing exponential growth for easier interpretation.
- Making growth rates comparable across time spans.
Interpreting a straight line:
- Straight line → constant percent growth rate.
- Steeper line → faster percent growth.
Based on the passage, which statement best describes the trend shown by the semi-log plot?
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