\begin{tabular}{l} Sketch a graph of \( f \) \\ \( f(x)=5-x \) \\ \hline\end{tabular}

To sketch the graph of the function \( f(x) = 5 - x \), we can follow these steps: 1. **Identify the type of function**: The function \( f(x) = 5 - x \) is a linear function. It can be rewritten in the slope-intercept form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. 2. **Determine the slope and y-intercept**: - The slope \( m \) is \(-1\) (the coefficient of \( x \)). - The y-intercept \( b \) is \( 5 \) (the constant term). 3. **Plot the y-intercept**: Start by plotting the point \( (0, 5) \) on the graph. 4. **Use the slope to find another point**: From the y-intercept, use the slope to find another point. Since the slope is \(-1\), this means that for every 1 unit you move to the right (positive direction on the x-axis), you move down 1 unit (negative direction on the y-axis). - From \( (0, 5) \), moving 1 unit to the right gives \( (1, 4) \). 5. **Draw the line**: Connect the points \( (0, 5) \) and \( (1, 4) \) with a straight line. Since this is a linear function, the line will continue infinitely in both directions. 6. **Label the axes**: Make sure to label the x-axis and y-axis for clarity. The graph will be a straight line that descends from left to right, crossing the y-axis at \( 5 \) and the x-axis at \( 5 \) (where \( f(x) = 0 \)). If you need a visual representation, you can use graphing software or tools to plot it accurately.