SOLUTION: Graph the function, showing all asymptotes as dashed lines. list the x and y intercepts. f(x)=x-4/x+5. So far I have that the x intercept is (4,0) and the y-intercept is (0,-4/5).

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Graph the function, showing all asymptotes as dashed lines. list the x and y intercepts. f(x)=x-4/x+5. So far I have that the x intercept is (4,0) and the y-intercept is (0,-4/5).       Log On


   



Question 327323: Graph the function, showing all asymptotes as dashed lines. list the x and y intercepts. f(x)=x-4/x+5. So far I have that the x intercept is (4,0) and the y-intercept is (0,-4/5). I'm not sure how to graph this or find the asymptotes.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Yes, you've got the intercepts.
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Vertical asymptotes occur when the denominator goes to zero.
x%2B5=0
x=-5
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Horizontal asymptotes occur when x goes to infinity,
f%28x%29=%28x-4%29%2F%28x%2B5%29=%281-4%2Fx%29%2F%281%2B5%2Fx%29
lim%28x-%3Einfinity%2Cf%28x%29%29=%281-0%29%2F%281%2B0%29=1%2F1=1
Horizontal asymptote:
y=1
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Sorry can't do dashed lines, asymptotes in blue and green.