SOLUTION: PLEASE HELP find the slant asymptote of the graph of the rational function and b. use the slant asymptote to graph the rational function f(x)x^2+x-20/x-7 a. find the slan

Algebra ->  Graphs -> SOLUTION: PLEASE HELP find the slant asymptote of the graph of the rational function and b. use the slant asymptote to graph the rational function f(x)x^2+x-20/x-7 a. find the slan      Log On


   



Question 838754: PLEASE HELP
find the slant asymptote of the graph of the rational function and b. use the slant asymptote to graph the rational function
f(x)x^2+x-20/x-7
a. find the slant asymptote of the graph of f.
b. use the slant asymptote to graph the rational function. determine the symmetry of the graph of f.
c. find the y-intercept(s)
d. find the x-intercept(s)
e. find the vertical asymptote. x=
f. find the horizontal asymptote. y=

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
find the slant asymptote of the graph of the rational function and b. use the slant asymptote to graph the rational function
f(x)x^2+x-20/x-7
..
a. find the slant asymptote of the graph of f.
%28x%5E2%2Bx-20%29%2F%28x-7%29=%28x%2B8%29%2Bremainder
y=(x+8) is the equation of the slant asymptote
..
b. use the slant asymptote to graph the rational function. determine the symmetry of the graph of f.
See graph below:
Graph not symmetrical.
..
c. find the y-intercept(s)
set x=0
y=-20/-7=20/7
y-intercept:(0,(20/7))
..
d. find the x-intercept(s)
set y=0
x^2+x-20=0
(x+5)(x-4)=0
x-intercepts:(4,0) and (-5,0)
..
e. find the vertical asymptote. x=7
f. find the horizontal asymptote. y=(none)
..
+graph%28+300%2C+300%2C+-50%2C+50%2C+-50%2C+50%2C+x%2B8%2C%28x%5E2%2Bx-20%29%2F%28x-7%29%29+