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Math Help - Functions

  1. #1
    Newbie
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    Functions

    Let A = {xR:x ≥ -1} and B = {x ∈ R : x ≥ -3}, and let f:A→B be given by f(x) = x^2 + 2x - 2.

    Determine whether f is bijective. Does f has an inverse? Justify your answer.

    So far i have

    (-1)^2 + 2(-1) - 2
    1 -2 -2 = -3

    Domain
    x ≥ -1 [-1,∞)

    Range
    [-3,∞)

    not sure how to prove the rest
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  2. #2
    MHF Contributor
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    Re: Functions

    I recommend drawing a sketch of the graph of f on the given domain. Do you know how to determine if a function is injective and surjective from the graph sketch?
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