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Maths - Recipricals

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I'm having some torubles understanding these question.

Sketch y1 = x-3 and y2 = 1/x-3 on the same set of axis

a) What is the relationship between the zero of y1, and vertical asymptote of y2?

Does the question mean when y1 = 0?. I know the vertical asymptote is just a vertical line on the graph that gets closer and closer and closer to, but doesn't actually touch.

c)When y1 has a large positive value, explain what happens to the value of y2. Similarly, when y1 has a large negative value what happens to y2? Explain why this happens.

I know if the y1 value gets larger, so does the x value. But how does y1 having a large value even affect the value of y2, when they're both different graphs.

I appreciate any help. Thanks.

  • Maths - Recipricals -

    a) y1 = 0 at x = 3. The asymptote of y2 is a vertical line at x = 3.

    (c) When y1 has a large negative value, you are in the region of large negative x. In that same region, y2 approaches 0 asymptotically from below the x axis.

  • Maths - Recipricals -

    I wrote y2 wrong
    It's suppost to be y2 = 1/(x-3)

  • Maths - Recipricals -

    That is what I assumed you meant. My answer remains the same

  • Maths - Reciprocals -

    Note corrected subject spelling

  • Maths - Recipricals -

    How many 3/4 are in 3?

  • Maths - Recipricals -

    well you see i don't know

  • Maths - Reciprocals -

    just divide 3 by .75:

    3/.75=???
    4

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