Which graph represents the function?
2 answers:
Of course, I would just graph it on Desmos.com or my graphing calculator and be done.
f(x) can be factored as
.. f(x) = (x -6)(x +1)/((x -3)(x +2))
so will have zeros at x = {-1, 6}, vertical asymptotes at x = {-2, 3}, and sign changes at all of those points.
The Upper Right graph is the only one with the zeros and asymptotes in the right places.
f(x) can be factored as
.. f(x) = (x -6)(x +1)/((x -3)(x +2))
so will have zeros at x = {-1, 6}, vertical asymptotes at x = {-2, 3}, and sign changes at all of those points.
The Upper Right graph is the only one with the zeros and asymptotes in the right places.
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In order to subtract fractions, we must find a common denominator, then subtract the numerators.
The common denominator (LCM(3, 5)) is 15.
We must multiply the first numerator by 5, because 3*5=15 and the second numerator by 3 because 5*3=15.
We get .
All we need to do now is subtract the numerators: .
The answer is 14/15.