Rational Arithmetic
Asymptotes/Holes
Domain/Range/End behavior
250
(x-8)/(x^2-3x-40)\cdot(x^2-25)/(x+9)
(x-5)/(x+9)
250
What is the horizontal asymptote of the function
f(x)=-3/(x+2)+7
y=7
250
What is the domain of this function?
All real numbers except 0
500
(5x+4)/(x-3)
(5x+4)/(x-3)
x\ne3
500
What is the vertical asymptote of the function f(x)=(2x)/(x(x-3))
x=3
500
What is the end behavior of this function?
as x approaches infinity, f(x) approaches 2
as x approaches negative infinity, f(x) approaches 2
750
x+3/(x+2) +(3x)/(x+5)
(x^3+10x^2+19x+15)/((x+2)(x+5))
750
Where is the removable discontinuity of this function f(x)=(-5x+15)/(2x^2-18)
(3, -5/12)
750
Range of this function
f(x)=(-5x+10)/(x^2-3x+2)
All numbers except 0 and -5
1000
(x^2+4x-45)/(-x-4)\cdot(x+5)/(x^2+14x+45)\div(x^2-5x)/(-9)
9/(x(x+4))
1000
What are the asymptotes and removable discontinuities of this function f(x)=(4x^2+4x-48)/(-5x^2+45)
VA at x=-3
HA at y=-4/5
RD at x=3
1000
Find the domain range and end behavior of this function
f(x)=(2x-3)/(3x+15)
Domain: all real numbers except -5
Range: all real numbers except 2/3
End Behavior: as x approaches infinity, f(x) approaches 2/3
as x approaches negative infinity, f(x) approaches 2/3