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Math Help - vertical asymptotes

  1. #1
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    pretest 6 math questions

    Find the horizontal asymptote of the graph f(x)= 2/x-4

    A: y=2 B: x=0 C: x=4 D: y=0

    Find the vertical asymptote(s) if any, for f(x)= 4x-4/x2-5x-6

    A: x=-1, x=6, x=4 B: x=-1, x=6 C: x=4, x=-1 D: none

    Find the zeros of the function. F(x)= 4x-7/x-2
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  2. #2
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    Quote Originally Posted by Lane
    Find the horizontal asymptote of the graph f(x)= 2/x-4

    A: y=2 B: x=0 C: x=4 D: y=0
    At this level it is when the denominator is zero. Thus, if you mean y=\frac{2}{x}-4 then the answer is x=0 and if you mean y=\frac{2}{x-4} then the answer is x=4
    Quote Originally Posted by Lane
    Find the vertical asymptote(s) if any, for f(x)= 4x-4/x2-5x-6

    A: x=-1, x=6, x=4 B: x=-1, x=6 C: x=4, x=-1 D: none
    Factor
    \frac{4(x-1)}{(x+1)(x-6)} that happens when x=-1,6 (remember set each factor equal to zero).


    Quote Originally Posted by Lane
    Find the zeros of the function. F(x)= 4x-7/x-2
    You need an "x" such as,
    \frac{4x-7}{x-2} a fraction is only zero when its numerator is zero thus,
    4x-7= thus, x=7/4=1.75
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  3. #3
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    Quote Originally Posted by Lane
    Find the horizontal asymptote of the graph f(x)= 2/x-4

    A: y=2 B: x=0 C: x=4 D: y=0...
    Hello,Lane,

    you'll get the horizontal asymptote if calculate the limit of f(x):

    a) you mean: f(x)=\frac{2}{x}-4. Then \lim_\csub{|x|\rightarrow\infty} f(x)=-4\ \Longrightarrow\  As: y = -4

    b) you mean: f(x)=\frac{2}{x-4}. then \lim_\csub{|x|\rightarrow\infty} f(x)=0\ \Longrightarrow\  As: y = 0

    The possible answers doesn't include y = -4, therefore the answer is D.

    Greetings

    EB
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