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the rational function has a y-intercept of 7. what is the equation for this function

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11 answers
  1. file:///C:/Users/lanib/Downloads/680584-4192012-101320-AM-853948007.png

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  2. If all we know is the point (0,7) then it must be of the form

    y = a(x-7) * ...

    where ... is some fraction involving x-stuff.

    I cannot access files on your C: drive ...

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  3. the vertical asymptote is at -2 and the horizontal asymptote is at 5

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  4. so, y = 5(x-7)/(x+2)

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  5. thank you so much!

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  6. could u show me how u got it step by step though

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  7. the vertical asymptote means you have (x+2) in the bottom
    the zero means you have (x-7) in the top
    The top and bottom have equal degree, so the y-asymptote is the ratio of the coefficients of the highest power of x. The fraction (x-7)/(x+2) has a horizontal asymptote at y=1. So, multiply by 5.

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  8. ok,thank you so much

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  9. I can give you an answer for them, but they may not be correct.
    1. y = (5x+14)/(x+2) You can graph this in mathway if you're not sure

    2. It's a direct variation and the function is y = 3x. You can still check with mathway

    3. It's shifted to the left by 6 units, and is stretched by 5 units (Not really sure about this one tbh)

    4. 500 = C (n + 5)
    500 = 20 (n + 5)
    20 (n + 5) = 500
    20n + 100 = 500
    20n = 400
    n = 20

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  10. Y=5
    X=-2
    K=5
    Y=a/(x+2) +5
    Since x is -2 it will be (x+2)
    Now we need to find the A value
    The y Intercept is at (0,7)
    Substitute 0 and 7 for x and y
    7= a/(0+2) +5
    -5 both sides
    2=a/0+2
    0+2 is 2
    2=a/2
    Multiply both sides by 2
    2 × 2 is 4
    A= 4
    The equation is
    Y=4/(x+2) +5

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  11. formula i used
    y=a/(x-h) +k
    vertical asymp x=-2 and/or h=-2
    horizontal asymp y=5 and/or k=5

    y=a/x-(-2) +5
    plug in the (0,7) to find a
    7=a/0+2 +5
    subtract 5
    2= a/2 multiply 2 to cancel out the division
    a=4
    plug everything in
    y= 4/x+2 +5
    check desmos

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