gr11 math

The graph of y=1/(14x+90) has A horizontal asymptotes, B vertical asymptotes, and the graphs of the functions y = 14x + 90 and y=1/(14x+90) will intersect C times. The values of A, B, and C are...?

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  1. rational functions can have vertical asymptotes where the denominator is zero, and a horizontal asymptote.

    14x+90 = 1/(14x+90)
    (14x+90)^2 = 1
    14x+90 = ±1
    so (A,B,C) = (1,1,2)

    better review the topic of rational functions. Also see the graphs at

    https://www.wolframalpha.com/input/?i=14x%2B90+%3D+1%2F%2814x%2B90%29+for+-7+%3C%3D+x+%3C%3D+-5

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    oobleck

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