(a) On the same set of axes, graph f(x)=(x 4)2 2 and g(x) = (x 2)2 + 8. (b) Make a table
Chapter 10, Problem 95(choose chapter or problem)
(a) On the same set of axes, graph f(x)=(x 4)2 2 and g(x) = (x 2)2 + 8. (b) Make a table of values for f and g for x = 0, 1, 2, ..., 6. (c) Make a table of values for y = f(x) g(x) for x = 0, 1, 2, ..., 6. (d) On your graph, sketch the vertical line segment of length f(x) g(x) for each integer value of x from 0 to 6. Check that the segment lengths agree with the values from part (c). (e) Plot the values from your table for the function y = f(x) g(x) on your graph. (f) Simplify the formulas for f(x) and g(x) in part (a). Find a formula for y = f(x) g(x). (g) Use part (f) to graph y = f(x) g(x) on the same axes as f and g. Does the graph pass through the points you plotted in part (e)?
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