1. The problem asks us to analyze the exponential function $f(x)$ modeling the population of Center City over time, where $x$ is the number of years after 2015.
2. From the graph, we observe that the population starts near 250,000 at $x=0$ and increases to about 900,000 at $x=100$.
3. Since the graph is increasing and curved upward, the function $f$ is an increasing exponential function.
4. Important properties of exponential functions $f(x) = a \cdot b^x$ with $b>1$ include:
- The function is always increasing.
- The population grows faster as time increases.
- The function never becomes negative.
5. Based on the graph:
- The population is increasing over time, so $f$ is increasing.
- The growth rate appears to accelerate, so the function is exponential growth, not linear.
6. Therefore, the two true statements are:
- The function $f$ is increasing.
- The function $f$ models exponential growth of the population over time.
Final answer: The function $f$ is increasing and models exponential growth.
Exponential Growth 4Cfe00
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