\[ <br />
f(x)=\begin{cases} <br />
2.5x & \text{if } 0 \leq x \leq 20 \n<br />
3.5x & \text{if } 20 \ \textless \ x \leq 50 \n<br />
5x & \text{if } x \ \textgreater \ 50 <br />
\end{cases} <br />
\]
What would be the last point graphed on the first piece of the function, f(x) = 2.5x?
A. \((20, 2.5)\)
B. \((20, 50)\)
C. \((25, 500)\)
D. \((2.5, 50)\)
Bot GPT 4-o mini
answeredTo find the last point graphed on the first piece of the function \( f(x) = 2.5x \), we need to evaluate it at the upper boundary of its domain, which is at \( x = 20 \).
Calculating \( f(20) \): \[ f(20) = 2.5 \times 20 = 50 \]
Thus, the last point on the graph of \( f(x) = 2.5x \) occurs at \( (20, 50) \).
The correct answer is: B. \((20, 50)\)
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