Question: Use the vertical line test to determine which graph(s) c. For the function, $f(x) = -3x + 6$, find $f(-3)$ 5. Using the graph to the right, please graph the equation y = -4x

1. **State the problem:** We need to find the value of the function $f(x) = -3x + 6$ at $x = -3$. 2. **Recall the formula:** The function is given by $f(x) = -3x + 6$. 3. **Substitute the value:** Calculate $f(-3)$ by substituting $x = -3$ into the function: $$f(-3) = -3(-3) + 6$$ 4. **Simplify the expression:** $$f(-3) = 9 + 6$$ 5. **Calculate the final value:** $$f(-3) = 15$$ **Answer:** $f(-3) = 15$ --- **Additional notes on the vertical line test:** - The vertical line test states that if a vertical line intersects a graph more than once, the graph does not represent a function. - According to the description: - The top-left graph fails the vertical line test because a vertical line segment exists. - Graph c fails the vertical line test because two rays meet at a point on the x-axis. - Graph b is partially visible but appears to be a slanted line segment, which would pass the vertical line test if fully visible. **Graphing $y = -4x$** is requested but no graph is provided here, so it is not included in this solution.