Solved: A fixed point of a function is a number in its
Chapter 16, Problem 16.465(choose chapter or problem)
A fixed point of a function is a number in its domain such that . (The function doesnt move ; it stays fixed.) (a) Sketch the graph of a continuous function with domain whose range also lies in . Locate a fixed point of . (b) Try to draw the graph of a continuous function with domain and range in that does not have a fixed point. What is the obstacle? (c) Use the Intermediate Value Theorem to prove that any continuous function with domain and range a subset of must have a fixed point.
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