Problem 4 Let f: R R be defined by f(x) = x |r ...

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Problem 4 Let f: R → R be defined by f(x) = x – |r – 11|. (1) Show that f is not an injective function. (2) Are there real numbers rı and r2 such that 21, x2 < 11, x1 x2, but f(x1) = f(x2)? (3) Determine im(f). Problem 4 Let f: R → R be defined by f(x) = x – |r – 11|. (1) Show that f is not an injective function. (2) Are there real numbers rı and r2 such that 21, x2 < 11, x1 x2, but f(x1) = f(x2)? (3) Determine im(f).

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1 To show that the given function is not injective lets take an example let x 11 so that ... View the full answer