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
Answer
6. For question 6, graphing the function \(h(x) = -\frac{1}{2} x + 3\) is not possible in plain text format.
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.
