Rational functions are continuous except at zeros of the denominator.
The discontinuity occurs at x=3 which means 3-q=0.
The y intercept means 4 = p+9/(-3) which => p=-12
As x gets large in the positive direction, f(x) goes to zero from below and in the other direction f(x) goes to zero from above.
Paul M.
tutor
You get q=3 because at the vertical asymptote the denominator must be 0. Then you put x=0 and y=4 into the equation and solve for p, which means clear fractions first (multiply through by -3). I hope that helps. And oops, I made a typo p=-21, not -12!
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05/19/20
Amanda H.
Oh okay) thank you so much) you helped me a lot) thank you
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05/19/20
Davian L.
Can 9/-3 be simplified further into -3? So that p=7
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09/21/20
Rachel F.
p is 7. my math analysis teacher verified.
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11/23/20
Amanda H.
I have a question. Does it count for both parts of the question? I mean the equation for p. Also when I calculated it, I got p=7. I guess that´s incorrect looking at the p=-12. How do I get such an answer? Do I have multiply the whole equation by -3 and then what I get on the left side it the final answer for p?05/19/20