What is the approximate value of f(4.5)?
Understand the Problem
The question asks to find the approximate value of the function f at 4.5, given a graph of the bacteria population on a petri dish as a function of days since an antibiotic was introduced. We need to estimate the y-value on the graph when x = 4.5.
Answer
$f(4.5) \approx 550,000$
Answer for screen readers
$f(4.5) \approx 550,000$
Steps to Solve
- Locate x = 4.5 on the graph
Find the position on the x-axis corresponding to 4.5 days. This will be halfway between 4 and 5 on the x-axis.
- Estimate the corresponding y-value
Visually trace a vertical line from x = 4.5 up to the curve. Then, trace a horizontal line from that point on the curve to the y-axis. Estimate the y-value where this horizontal line intersects the y-axis. Based on the graph, this value appears to be around 550,000.
$f(4.5) \approx 550,000$
More Information
The approximate value of $f(4.5)$ is 550,000. This represents an estimate of the bacteria population 4.5 days after the introduction of the antibiotic.
Tips
A common mistake is misreading the scale on the y-axis or x-axis. Also, estimating the position on the curve at x=4.5 precisely can be difficult and may result in slightly different estimations.
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