SOLUTION: 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.

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
~~~~~~~~~~~~~~~~~

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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