For the function f(x) = x^2 +3x / 2x^2 + 7x +3 find the
following, and use it to graph the function.
Find: a)(2pts) Domain
b)(2pts) Intercepts
c)(2pts) Symmetry
d) (2pts) Asymptotes
e)(4pts) Intervals of Increase or decrease
f) (2pts) Local maximum and local minimum values
g)(4pts) Concavity and Points of inflection and
h)(2pts) Sketch the curve
Factor the following:
a) f(x)=x^5+5x^4-21x^3-137x^2-88x+240, knowing that f(5)=0 and
f(-3)=0.
b) f(x)=x^3+8x^2+5x-50
c)f(x)=-x^4-4x^3+19x^2+46x-120, knowing that (x+5) and (x-2) are
factors.
1. Consider the following curve f(x)= X^3 - 5x^2 +7x-5 Find the coordinates of the minimum and the maximum.
2. The curve y= x^3 + ax^2 + bx + c has a relative max at x=-3 and a relative minimum at x= 1. Find the values of a and b.
3. Find the equation of the perpendicular line to the curve x^2 + 2xy - 2y^2 + x=2 at the point (-4,1)
4. Find the slant asymptote f(x)= (4x^2...