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Math B Question?

"Given the function y= f(x), such tht the entire graph of the function lies above the x-axis. Explain why the equation f(x) = 0 has no real solutions."

HUH?

3 Answers

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  • JJ
    Lv 4
    1 decade ago
    Favorite Answer

    itz b coz the graph is a line parallel to y axis..

    if it had ny slope it wud have met x axis at some point...

    n since it does not have ny slope dat means slope =0

    n eqn for slope is y=mx+c...here x is prptnl to y/m.. ie y/0

    which is infinity...

    y is f(x) so f(x)=0 has no real solutions....

    jj

  • 1 decade ago

    Since f(x) is above the x-axis, it can only have values greater than 0, because above the x-axis y is greater than 0. Otherwords: f(x)>0 for all x. Therefore f(x) = 0 cannot be true for any real value of x.

  • Answer
    Lv 5
    1 decade ago

    If f(x) or y equaled zero, you'd have a point on the x-axis.

    No coordinate can have zero as their y-value.

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