math-calculus

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for which of following functions is graphof y = |f(x)| identical to graph of y = f(x)?

A. f(x) = 2x
B. f(x) = -2x
C. f(x) = 2x^2
D. f(x) = -2x^2

i real not get this.

  • math-calculus -

    has to be positive for all x
    has to be an even function, same + or -
    so
    2 x^2

  • math-calculus -

    ok can u explain to me again that i still not get it.

  • math-calculus -

    |f(x)| is positive, but

    2x can be negative
    -2x can be negative

    x^2 is always positive, so

    -2x^2 is always negative.

    The only choice which is always positive is 2x^2

    so, |2x^2| = 2x^2

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