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What would be the written equation that represents this function?

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2 Answers

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  • TomV
    Lv 7
    2 weeks ago

    y intercept = 3

    x intercept = 4

    horizontal asymptote = 3/4 (?)

    vertical asymptote = 1

    f(x) = u(x)/v(x)

    y intercept = 3 → u(0) = 3

    x intercept = 4 → u(4) = 0 → x - 4 is a factor of u(x)

    u(x) = -(3/4)(x-4)

    vertical asymptote = 1 → (x-1) is a factor of v(x)

    horizontal asymptote = 3/4 → lim(x→⁠±∞) u(x)/v(x) = 3/4

    v(x) = k(x-1)

    limit(x→±∞) -(3/4)(x-4) / [k(x-1)] = -3/(4k) = 3/4

    k = -1

    f(x) = -(3/4)(x-4)/[(-(x-1) = 3(x-4)/[4(x-1)]

    Ans: f(x) = 3(x-4)/[4(x-1)]

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  • rotchm
    Lv 7
    2 weeks ago

    Apply the exact same procedures already given to you in:

    https://ca.answers.yahoo.com/question/index?qid=20...

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