Find a power series for the function, centered at
c.
f(x) =
3
2x − 1
, c = 2
f(x) =
∞
n = 0
Determine the interval of convergence. (Enter your answer using
interval notation.)
1. You are given the function f(x) = 3x^4 + 4x^3
a) Find the x and y- intercepts.
b) Find the critical number(s) of f.
c) Find the interval(s) of increase and decrease of f.
d) Find the relative maximum and minimum value(s) of f.
e) Find the hypercritical number(s) of f.
f) Find the interval(s) of upward and downward concavity of
f.
g) Find the point(s) of inflection of f.
h) Sketch the graph of f.
2. You are...
Find a power series for the following function, centered at c =
0, and determine the interval of convergent
f(x)=(3x−8)/(3x^2+5x−2)
(show all the works please)
For the function f(x) = x^2 +3x / 2x^2 + 6x +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
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