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
Find the real solutions of the following equation.
x^4 +7x^3+8x^2-7x+15=0
Select the correct choice below and, if necessary, fill in the
answer box to complete your choice.
The solution set is { }
(Simplify your answer. Type an exact answer, using radicals as
needed. Use integers or fractions for any numbers in the
expression. Use a comma to separate answers as needed. Type each
answer only once.)
B.
The solution set is
empty set∅.
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...
Consider the function q(x)=x^11−3x^10+2. Find the x-coordinates
of all local maxima. If there are multiple values,
give them separated by commas. If there are no local maxima, enter
∅.
1-f(x) =1/8(7x-2), x ≤ 3
a-absolute maximum value b-absolute minimum value
c-local maximum value(s) d-local minimum value(s)
2-Show that the equation x3 − 16x + c = 0
has at most one root in the interval [−2, 2].
3-If f(1) = 10 and f '(x) ≥ 3
for 1 ≤ x ≤ 4, how small can f(4) possibly
be?