Question

unit: functions progress: the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. graph: $f(x) = \frac{1}{2}x - 2$ select a tool below: erase all erase region line (exclusive) line (inclusive) plot two points on the graph to create a line (inclusive).

Explanation:

Step1: Find the y-intercept

The function is \( f(x)=\frac{1}{2}x - 2 \). When \( x = 0 \), \( f(0)=\frac{1}{2}(0)-2=-2 \). So the point is \( (0, -2) \).

Step2: Find another point

Let \( x = 4 \), then \( f(4)=\frac{1}{2}(4)-2 = 2 - 2 = 0 \). So the point is \( (4, 0) \).

Step3: Plot the points and draw the line

Plot \( (0, -2) \) and \( (4, 0) \) on the coordinate plane, then use the "Line (Inclusive)" tool to draw a line through these two points.

(Note: Since this is a graphing task, the final answer is the graph with the line passing through (0, -2) and (4, 0) or other valid points from the function \( f(x)=\frac{1}{2}x - 2 \).)

Answer:

The graph should have a line passing through points like \((0, -2)\) and \((4, 0)\) (or other points satisfying \( f(x)=\frac{1}{2}x - 2 \)) drawn using the "Line (Inclusive)" tool.