Question 1160089: Consider the rational function-
𝑅(𝑥)= (𝑥−1)(𝑥+2)(𝑥−3)𝑥(𝑥−4)2
(a) Find the domain of the rational function.
(b) Determine x and y-intercepts , if any. Use multiplicity to determine the behavior of the graph of 𝑅 at each x-intercept.
(c) Determine the horizontal, vertical or oblique asymptote, if one exists.
(d) Use the zeros of numerator and denominator of 𝑅 to divide the x-axis into intervals.
Determine where the graph of 𝑅 above or below the x-axis.
(e) Draw the graph using above data.
Answer by ikleyn(52781)   (Show Source):
You can put this solution on YOUR website! .
Consider the rational function-
𝑅(𝑥)= (𝑥−1)(𝑥+2)(𝑥−3)𝑥(𝑥−4)2
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Hey,
I am looking into your post, and I do not see a "rational" function there.
What I see in the post, is a polynomial.
Yes, a polynomial is a particular case of a rational function,
but still, when a person calls a polynomial as a rational function, I'd advise him (or her) to refresh his (or her) memory.
Also, parallel to it, check your post.
Double check, then re-check and cross-check, finally . . .
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