Asymptotes of Rational Functions
What is the VA for f(x) = (2x+3) / (x-4)
x = 4
What is the y-intercept for f(x) = (x-3) / (x+3)
y = -1
(7x/(2x-10)) divided by (x^2-6x)/(x^2-11x+30)
7/2 x cannot equal 5, 0, 6
5x/(x+3) + (15/(x+3))
5 x cannot = -3
4/x + x = 5
x = 1 and 4
This is the horizontal asymptote of the function f(x) = (x - 3)/(x + 4).
What is y = 1?
This is the x-intercept of the function f(x) = ((x + 2)(x - 1))/(x - 1).
What is x = 1?
(6x^2+x-15)/4x^2 divided by (3x^2+5x)
(2x-3)/4x^3 x cannot equal 0 and -5/3
Find the LCM of the polynomials: 24x^2 and 8x^2-16x
24x^2(x-2)
2/3x + 1/6 = 4/3x
x=4
What is the VA for f(x) = (6x2-1) / (2x+5)
x = -5/2
What is the hole for f(x) = (x2-1) / (x+1)
x = -1
(x^2-3x)/(x-2) TIMES (x^2+x-6)/x
x^2-9 x cannot equal 2 and 0
(x+4)/(x^2-4) - (15/(x-2))
(-14x-26)/(x+2)(x-2)
(x-3)/(x+5) = x/(x+2)
x = -1
What is the HA for f(x) = 1 / (2x-3)
y = 0
What is the hole for f(x) = (x2-4x+4) / (x2-3x+2)
x = 2
(3x^2+13x+4)/(4x^2-16) Divided by (8x+32)/(4x+8)
(3x+1)/(8x-16) x cannot equal -2,-4,2
(x^2-5)/(x^2+5x-14) - ((x+3)/(x+7))
(-x+1)/(x+7)(x-2) x cannot equal -7 or 2
(x-1)/x + (2x-1)/(x+3) = (x+6)/ (x+3)
x = -.5 and 3
What is the VA for f(x) = (x2-1) / (x+1)
None
This is a hole in the graph of the function f(x) = ((x + 1)(x - 2)(x + 3))/((x + 3)(x - 2)).
What is x = -3 and x = 2?
(4x^2+20x)/(x^3+4x^2) TIMES (x^2+8x+16)/(8x^2+36x-20)
(x+4)/(2x^2-x) x cannot equal 0,-4,-5,1/2
(x+2)/(x-4) + 2/x + 5x/(3x-1)
(8x^3-9x^2-28x+8)/(x(x-4)(3x-1))
3x/(x+1) = 12/(x^2-1) + 2
x = -2 and 5