Problem
1. Which set of ordered pairs does not represent a function? (A) $(1,5),(3,18),(8,6),(9,18)$ (B) $(3,7),(4,9),(5,11),(4,13)$ (C) $(15,8),(12,9),(7,10),(2,11)$ (D) $(-2,5),(5,7),(8,-11),(9,13)$ 2. Evaluate each function in the table at $\ell 2)$. Functions \begin{tabular}{|c|c|} \hline Function & $f(2)$ \\ \hline$f(x)=4 x-2$ & \\ \hline$f(x)=\frac{3}{4} x^{2}-2.5$ & \\ \hline$f(x)=\frac{2}{5 x}$ & \\ \hline \end{tabular} 3. The table shows how Beth's total earnings at her part-time job are related to the number of weeks she has worked. Beth's Total Earnings \begin{tabular}{|c|c|} \hline Week & $\begin{array}{c}\text { Total } \\ \text { Earnings } \\ \text { (dollars) }\end{array}$ \\ \hline 3 & 600 \\ \hline 4 & 800 \\ \hline 5 & 1000 \\ \hline 6 & 1200 \\ \hline 7 & 1400 \\ \hline \end{tabular} Which linear function could model Beth's total earnings as a function, $f(x)$, of the number of weeks she worked, $x$ ? (A) $f(x)=200 x$ (B) $f(x)=600 x$ (C) $f(x)=200 x+600$ (D) $f(x)=200 x+1400$ 4. Place an $\mathrm{X}$ in the table to show whether each function on the interval $-2 \leq x \leq 4$ has a maximum at $x=-2$, or increases. 5. At a large sawmill, there are 900 logs to process. The mill processes 50 logs per hour. What function, $f(x)$, models how many unprocessed logs remain after $x$ number of hours? \[ f(x)= \] 6. Graph the function $h(x)=-\frac{1}{2} x+3$. Agebra 1
Solution
Step 1 ：1. The set of ordered pairs that does not represent a function is \((B)\) because it has the same x-value with different y-values: \((3,7),(4,9),(5,11),(4,13)\).
Step 2 ：2. Evaluating each function at \(f(2)\): \(f_1(2) = 6\), \(f_2(2) = 0.5\), and \(f_3(2) = 0.2\).
Step 3 ：3. The linear function that models Beth's total earnings is \(f(x) = 200x\).
Step 4 ：4. For question 4, I cannot provide an answer without more information about the functions.
Step 5 ：5. The function that models how many unprocessed logs remain after \(x\) number of hours is \(f(x) = 900 - 50x\).
Step 6 ：6. For question 6, graphing the function \(h(x) = -\frac{1}{2} x + 3\) is not possible in plain text format.
