Final answer:
Graphing functions involves interpreting equations and plotting points on a coordinate plane. The linear function f(x) and the rearranged linear equation -x + 10y = 5 will both be straight lines on the graph with appropriate labeling and scaling.
Step-by-step explanation:
To answer the student's question about graphing functions, we need to interpret the question correctly despite the typos. We are to graph two functions. The first function, assuming a typo has occurred, might be meant to be f(x) = -3.5x or similar, as '-35x 4' seems like a mistaken input. The second function has been given as a linear equation in two variables, -x + 10y = 5, which can be rearranged to the slope-intercept form, y = mx + b, to facilitate graphing.
For the first function, if indeed it is f(x) = -3.5x, plotting is straightforward: it is a linear function with a negative slope, decreasing as x increases. To graph this function, we can choose two values for x, calculate the corresponding y-values, and mark these points on the Cartesian plane to sketch the line.
The second function rearranges to y = (1/10)x + 0.5. To graph this, again select two x-values, find the corresponding y-values, and plot the resulting points to draw the line. Remember to label each graph appropriately and scale both the x-axis and y-axis according to the range of values you need to plot.