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Sketch a graph of the following function: y= x^2-5x-14/x^2-49 Also include how to...
Sketch a graph of the following function: y= x^2-5x-14/x^2-49
Also include how to determine the a)x- and y- intercepts (if any)
b) Vertical Asymptotes and/ or Holes (if any)
c) Long Range Behaviour
d) Points at which the graph crosses its Horizontal or Slant Asymptote (if any)
1 Answer | add yours
High School Teacher
Sketch `y = (x^2-5x-14)/(x^2 - 49)`
x intercept, let y = 0, `(2, 0)`
y-intercept, let x = 0 `(0, 2/7)`
Vertical Asymptotes: x = -7
Horizontal Asymptotes at y = 1.
Long Range Behavior: `y-> 1 as x->-oo`
`y->1` as `x->oo` , `y->oo as x->-7`
`y->-oo` as `x->-7`
Posted by baxthum8 on October 21, 2013 at 11:26 PM (Answer #1)
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