math please

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1.Give a linear function with its zero at x=a, what is the equation of the vertical asymptote of its reciprocal function?

2.Give a quadratic function with its zeros at x=a and x=b, what are the equations of the vertical asymptotes of its reciprocal function?

3.Once you know the asymptotes of the reciprocal of a quadratic function, how can you find its maximum or minimum?

  • math please -

    1.
    y = x - a
    reciprocal
    y = 1/(x-a)
    vertical when x = a

    2.
    y = (x-a)(x-b)
    reciprocal
    y = 1/[(x-a)(x-b)]
    x = a and x = b

    3. vertex of parabola is halfway between zeros x =(a+b)/2

  • math pleasethank u Damon -

    thanks

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