Problem \#1 (Extra 15\%)a. Find all vertical and horizontal asymptotes.b. Find all x and y intercepts.c. Find values for x=1,2,−3,4,−5 round to two decimal places.d. Neatly graph the function and label all intercepts and values.f(x)=120−41x2+70x+4x3+x6−2x5−8x4−2x2+6−5x+x3 Get tutor helpVerify that with σ=(12), τ=(123), the standard representation l as a basis α=(ω,1,ω2), β=(1,ω,ω2), with τα=ωα, τβ=ω2β, σα=β, σβ=α. Get tutor helpWrite an explicit formula for an, the nth term of the sequence 25,15,5,…Answer: an= Get tutor helpWrite an explicit formula for an, the nth term of the sequence 2,8,32,…Answer: an= Get tutor helpWrite an explicit formula for an, the nth term of the sequence 3,6,12,…Answer: an= Get tutor helpWrite an explicit formula for an, the nth term of the sequence 7,1,−5,…Answer: an= Get tutor helpWrite an explicit formula for an, the nth term of the sequence 2,6,18,…Answer: an= Get tutor help