Question

Help answer questions 4 and 5?

Let f: R→ R be defined by
f(x) = x – |x + 2|.
(1) Show that ƒ is not an injective function.
(2) Are there real numbers xị and x2 such that
X1, X2 < -2, xi 7 x2, but f(x1) = f(x2)?
(3) Determine im(f).
%3|
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Transcribed Image Text

Let f: R→ R be defined by f(x) = x – |x + 2|. (1) Show that ƒ is not an injective function. (2) Are there real numbers xị and x2 such that X1, X2 < -2, xi 7 x2, but f(x1) = f(x2)? (3) Determine im(f). %3|

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