Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

1.find the domain 2.Indicate any intercepts 3.find any vertical asymptotes, indi

ID: 2838162 • Letter: 1

Question

1.find the domain

2.Indicate any intercepts

3.find any vertical asymptotes, indicate both left-hand and righ-hand side limits

4.find any horizontal asymptotes, justify your answer by using negative infinity and postive infinity

5.find f'(x) and f''(x) [first derivative and second derivative]

6.indicate intervals of increasing and decreasing and intervals of concavity

7.determine any local max and local min value, inflection point

8.graph the function

PS: Please be very specific about every step, I will be giving more points, Thank you!

y = x - x^2/2 - 3x + x^2 1.find the domain 2.Indicate any intercepts 3.find any vertical asymptotes, indicate both left-hand and righ-hand side limits 4.find any horizontal asymptotes, justify your answer by using negative infinity and postive infinity 5.find f'(x) and f''(x) [first derivative and second derivative] 6.indicate intervals of increasing and decreasing and intervals of concavity 7.determine any local max and local min value, inflection point 8.graph the function PS: Please be very specific about every step, I will be giving more points, Thank you!

Explanation / Answer

given function can be re written as:

f(x) = -x(x-1)/ (x-1)(x-2)

so domain will be x= R except x=1 and x=2, because taking these value of x will make value of function to be infinite.

So, f(x) = x/(2-x)