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Please explain all of your work. The best explanation gets awarded the points. Thank you.
Consider the Graph of a function f below. Use this graph to complete the work that follows. (
Assume the graph does not continue outside of box.) We call an input value c a fixed point of f
if f(c) =c. Show that f has at least three fixed points.
Solution
If we draw a line y=x it will cut the graph at least at three points I.e. one at (0,0) second when the
graph is increasing in first quadrant, third when in is decreasing in first quadrant. Hence at least 3
fixed points exist for the given graph.

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Please explain all of your work. The best explanation gets awarded t.pdf

  • 1. Please explain all of your work. The best explanation gets awarded the points. Thank you. Consider the Graph of a function f below. Use this graph to complete the work that follows. ( Assume the graph does not continue outside of box.) We call an input value c a fixed point of f if f(c) =c. Show that f has at least three fixed points. Solution If we draw a line y=x it will cut the graph at least at three points I.e. one at (0,0) second when the graph is increasing in first quadrant, third when in is decreasing in first quadrant. Hence at least 3 fixed points exist for the given graph.