Asked by boo
5. Use synthetic division to find the zeroes of : f(x)=2x^3+x^2-5x+2
6. For the following function, (a) state the domain, (b) identify all intercepts, (c) find any vertical or horizontal
asymptotes, and (d) identify any removable discontinuities.
f(x)=5(x+4)/x^2+x-12
6. For the following function, (a) state the domain, (b) identify all intercepts, (c) find any vertical or horizontal
asymptotes, and (d) identify any removable discontinuities.
f(x)=5(x+4)/x^2+x-12
Answers
Answered by
oobleck
there are several handy synthetic division calculators online for you to check your work. The text formatting here does not make it feasible to show.
f(x) = 5(x+4)/((x+4)(x-3)) = 5/(x-3) for all x ≠ -4
the domain is all reals except where the original denominator was zero: x = -4, 3
x-intercepts: 3
y-intercept is at f(0) = -5/3
vertical asymptote: x = 3
horizontal asymptote: y = 0
removable discontinuity at x = -4. Just define f(-4) = -5/7
f(x) = 5(x+4)/((x+4)(x-3)) = 5/(x-3) for all x ≠ -4
the domain is all reals except where the original denominator was zero: x = -4, 3
x-intercepts: 3
y-intercept is at f(0) = -5/3
vertical asymptote: x = 3
horizontal asymptote: y = 0
removable discontinuity at x = -4. Just define f(-4) = -5/7
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.