(I) How often does the line \( x=3 \) intersect the graph? (m) For what value(s) of \( x \) does \( \mathrm{f}(\mathrm{x})=-8 \) ? \( \mathrm{x}=\square \) (Use a comma to separate answers as needed.) ( n\( ) \mathrm{For} \) what value(s) of \( x \) does \( \mathrm{f}(\mathrm{x})=12 \) ? \( \mathrm{x}=\square \) (Use a comma to separate answers as needed.)

To answer your questions, we need to analyze the function \( f(x) \) and its graph. However, since you haven't provided the specific function or graph, I can guide you on how to approach these questions. (I) To determine how often the line \( x = 3 \) intersects the graph of \( f(x) \), you would look for the points where the graph of \( f(x) \) crosses the vertical line \( x = 3 \). This can be done by evaluating \( f(3) \) and checking if there are any points on the graph at that x-coordinate. If the graph intersects the line at \( x = 3 \) once, it means there is one intersection; if it intersects more than once, then there are multiple intersections. (m) To find the value(s) of \( x \) for which \( f(x) = -8 \), you would set the equation \( f(x) = -8 \) and solve for \( x \). This typically involves finding the points on the graph where the output (y-value) is -8. If the graph intersects the horizontal line \( y = -8 \) at one or more points, those x-coordinates will be your answers. (n) Similarly, for \( f(x) = 12 \), you would set the equation \( f(x) = 12 \) and solve for \( x \). Look for the points on the graph where the output is 12, which corresponds to the intersections with the horizontal line \( y = 12 \). If you provide the specific function or graph, I can give you more precise answers.