SOLUTION: I need help with this one please. Use the six-step procedure to graph the rational function. Be sure to draw any asymptotes as dashed lines. f(x)=4/x+2

Algebra ->  Rational-functions -> SOLUTION: I need help with this one please. Use the six-step procedure to graph the rational function. Be sure to draw any asymptotes as dashed lines. f(x)=4/x+2      Log On


   

Question 1130516: I need help with this one please. Use the six-step procedure to graph the rational function. Be sure to draw any
asymptotes as dashed lines. f(x)=4/x+2
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
If this is 4/(x+2) then there is a vertical asymptote at x=-2, because that makes the denominator 0.
the y-intercept is at (0, 2)
there is a horizontal asymptote at y=0, approaching from the positive side at positive x and from the negative side with negative x.
The range is from -oo to +oo, The domain is all x except x= -2
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C4%2F%28x%2B2%29%29
If it is (4/x)+2, then it has a vertical asymptote at x=0, it is displaced upwards 2 units, making the horizontal asymptote +2 and the same general shape, shifted upward 2 and to the right 2.
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C%284%2Fx%29%2B2%29