Help with a few calcalus problems
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Help with a few calcalus problems

[From: ] [author: ] [Date: 12-09-04] [Hit: ]
2.3.4.5.Please dont just answer, explain how the answer was found because i want to know how to do this stuff for the tests please and thank you!......
find the vertical asymptote
1. f(x)=(3x -9)/(5x + 30)

Find the vertical asymptotes of the graph of the function
2. f(x)=(3x - 9)/(5x + 30)

Use -infinity or infinity where appropriate to describe the behavior at each 0 of the denominator and identify all vertical asymptotes
3. h(x)=(x^2 + 4)/(x^2 - 4)

4. T(x)=(8x - 16)/(x^4 - 8x^3 +16x^2)

Describe the behavior of the function
5. f(x)=5x^4 + 5x + 11

Please don't just answer, explain how the answer was found because i want to know how to do this stuff for the tests please and thank you!!!!!!!!!!!!!!!!!!!!!!

-
1. 5x + 30 = 0

5x = -30

x = -6

Number 2 is the same exact question.

4. Factor
8(x-2) / (x^2)(x^2 - 8x + 16)

0 = x^2
0 = (x-4)

x = 0, x=4

lim x-->0 T(x) = -∞

lim x -->4 T(x) = ∞

5. Thats a tedious process involving first and second derivative test, you should try it.
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