\begin{tabular}{l} Sketch a graph of \( f \) \\ \( f(x)=5-x \) \\ \hline\end{tabular}
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To graph the function \( f(x) = 5 - x \), you can start with the y-intercept, which occurs when \( x = 0 \). Plugging in 0 gives you \( f(0) = 5 \), so the graph crosses the y-axis at (0, 5). Next, determine another point by choosing a value for \( x \)—for instance, when \( x = 5 \), you find \( f(5) = 0 \), so the graph also passes through (5, 0). Now, plot these points and draw a straight line connecting them, extending in both directions, as this is a linear function. Voilà! You have your graph! Make sure to label the axes and points clearly for better clarity, and remember that the slope of the line is negative, indicating that as \( x \) increases, \( f(x) \) decreases. This creates a neat, downward sloping line from left to right!
