Rational Operations
Simplify: (5x+15)/(x+3)
5
The vertical asymptote of the function
f(x) = 2/(x -3)
What is x = 3?
This is the horizontal asymptote of the function
f(x) = (x - 3)/(x + 4)
What is y = 1?
This is a hole in the function
f(x) = ((x + 1)(x - 3))/(x - 3)
What is x = 3?
This is the x-intercept of the function
f(x) = ((x + 2)(x - 1))/(x - 1)
What is x = -2?
Multiply: (a^2 + 7a + 12)/(a^2 - 9) * (a - 3)/(a+ 3)
(a+4)/(a-3)
The vertical asymptote of the function
f(x) = (x + 5)/(2x + 1)
What is x = -1/2?
This is the horizontal asymptote of the function
f(x) = (2x - 1)/(x^4 -3)
What is y =0?
This is a hole in the graph of the function
f(x) = ((x + 2)(x - 3))/((x - 7)(x + 2))
What is x = -2?
This is the y-intercept of the function
f(x) = ((x + 6)(x + 2))/(x + 2)
What is y = 6?
Divide: (c^2 - c - 12)/(c^2 + 4c + 3) div (c^2 - 6c + 8)/(c^2 + 5c + 4)
(c + 4)/(c - 2)
This is the vertical asymptote of the function
f(x) = x/(3x - 6)
What is x = 2?
This is the horizontal asymptote of the function
f(x) = (x - 7)/(3x - 1)
What is y = 1/3?
This is hole in the graph of the function
f(x) = (x^2+4x-5)/(x^2+7x+10)
What is x = -5?
This is the x-intercept of the function
f(x) = 3/(x + 5)
What is there is no x-intercept?
Subtract: (x)/(x-4) - (6x)/(x - 5)
(-5x^2 + 19x)/((x - 4)(x - 5))
This is the vertical asymptote of the function
f(x) = ((x + 2)(x - 2))/((x + 2)(x - 1))
What is x = 1?
This is the horizontal asymptote of the function
f(x) = ((x + 2)(x + 3))/(x + 1)
What is there is 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?
This is the x-intercept of the function
f(x) =(x + 1)/(x + 2)
What is there is x = -1?
((3x + 6)/(x + 5)) / ((x + 2)/(x^2 - 25))
3(x - 5)
This is the equation of the vertical asymptote of the function
f(x) = ((x + 5)(x - 3))/(x + 4)
What is there is no vertical asymptote?
This is the horizontal asymptote of the function
f(x) = ((x + 3)(x - 2))/((2x + 5)(x - 3))
What is y = 1/2?
This is a hole in the graph of the function
f(x) = ((x + 2)(x - 4))/((x + 5)(x - 1))
What is there is no hole in the graph?
This is the y-intercept of the function
f(x) = (x + 7)/(x - 2)
What is y = -3 1/2?