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Mathematics
Algebra
Rational Functions
Use limits to explain why
f(x)= (7-3X)/(X+9) has a vertical asymptote.
1 answer
Graph the function and you will see it
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Write an equation for rational function with given properties.
a) a hole at x = 1 b) a vertical asymptote anywhere and a
Top answer:
a) must have (x-1) in numerator and denominator y = (x-2)(x-1)/(x-1) = (x^2 - 3x + 1)/(x-1) b) must
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f(x)=(-3x^3-x^2-9x-8)/(6x^2+4x+3. Find the equation of the non-vertical asymptote. y=
Does f(x) intersect its non-vertical
Top answer:
By long division I got (-3x^3-x^2-9x-8)/(6x^2+4x+3) = (-1/2)x+1/6 + ( (-49/6)x - 17/2 )/(6x^2 + 4x +
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f(x)=x^3-3x^2-3x-8/(-3x^2-4x-6)
Find the equation of the non-vertical asymptote. What is the smallest value of x at which f(x)
Top answer:
I agree on the asymptote. So set the intercepts equal.. -x/3+ 13/9= (x^3-3x^2-3x-8)/(-3x^2-4x-6)
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f(x)=[5x^3-4x^2-8x+9]/[2x^2-1x-3]
Find the equation of the non-vertical asymptote. y = Does f(x) intersect its non-vertical
Top answer:
your y = 2.5x - .75 is correct, (obtained by division) so now we have to intersect y =
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f(x)=8x^3+1x^2–8x+2/–7x^2–4x+9
Find the equation of the non-vertical asymptote. y = Does f(x) intersect its non-vertical
Top answer:
The equation of the non-vertical asymptote can be found by evaluating Lim x→±∞ f(x) The limit
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f(x)=[5x^3-4x^2-8x+9]/[2x^2-1x-3]
Find the equation of the non-vertical asymptote. y = Does f(x) intersect its non-vertical
Top answer:
For Part 3, It would be a question of finding the intersection between the function f(x) and the
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Determine the vertical asymptotes and holes for the graph of the equation below. x−1x2+5x−6 (1 point) Responses Vertical
Top answer:
The correct answer is: Vertical asymptote: x=1 ; Hole: x=−6
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f(x)= (-5x^3 + 3x^2 + 3x -5)/(-8x^2 +2x + 7)
Find the equation of the non-vertical asymptote. y = ? Does f(x) intersect its
Top answer:
f(x) = 5x/8 - 7/32 + stuff/(-8x^2 +2x + 7) the line y=5x/8 - 7/32 is the asymptote graph crosses
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The following rational function describes concentration in blood of a certain medicine taken once depending on time, find:
A.the
Top answer:
It might help if you actually supplied the function. Clearly it looks something like -100x^2
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Create a function which has the following properties:
a. It has a horizontal asymptote at y=2 b. It has a discontinuity at x=2
Top answer:
(a) 2 + 1/x (b) (x-2)/(x-2) (c) 1/x won't work, so 2+1/(1+x^2) y = (2+1/(1+x^2))(x-2)/(x-2) =
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Related Questions
Describe the vertical asymptote and hole for the graph of (x^2+x-6)/(x^2-9).
a. asymptote: x=2; hole: x=-3 b. asymptote: x=3;
If the graph of y = (ax - b)/(x - c) has a horizontal asymptote y=5 and a vertical asymptote x = − 2 , then b cannot be equal
If x=1 is the vertical asymptote and y=-3 is the horizontal asymptote for the graph of the function f
which of the following
f(x) = tan x / sin x
Find the vertical asymptote. Describe its behavior to the left and right of the vertical asymptote.
Enter the equations of the asymptotes for the function f(x) .
f(x)= −(2/x+4) − 6 Vertical Asymptote: ? Horizontal Asymptote:
Describe the vertical asymptote(s) and hole(s) for the graph of .y=(x-3)(x-1)/(x-1)(x-5)
A. asymptote: x = 5 and hole: x = 1 B.
Construct a rational function that has a vertical asymptote at x = 3 and a removable discontinuity at . Explain how you
Construct a rational function that has a vertical asymptote at x = 3 and a removable discontinuity at x= -2. Explain how you
Write the equation of a rational function in the form of 𝑓(𝑥) = 𝑎𝑥+𝑏/𝑐𝑥+𝑑
if the vertical asymptote is x
a) an equation with a vertical asymptote at x=2; horizontal asymptote at y=0; no x intercept;y intercept is 3
b)a vertical