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
1. Find the critical numbers for the following functions
(a) f(x) = 2x 3 − 6x
(b) f(x) = − cos(x) − 1 2 x, [0, 2π]
2. Use the first derivative test to determine any relative
extrema for the given function
f(x) = 2x 3 − 24x + 7
A. In the following parts, consider the function f(x)
=1/3x^3+3/2x^2−4x+ 7
(a)Find the intervals on which f is increasing/decreasing and
identify any local extrema.
(b) Find the intervals on which f is concave up/down and find
any inflection points.
B. Consider the function f(x) = sin(x) + cos(x). Find the
absolute minimum and absolute maximum on the interval [−π,π].
T(1+2x)=1+x-x^2
T(1-x^2)=2-x
T(1-2x+x^2)=3x-2x^2
a)compute T(-6x+3x^2)
b) find basis for N(T), null space of T
c) compute rank of T and find basis of R(T)
Let f(x) = ln(x^2 + 9) Find the first two derivatives of f .
Find the critical numbers of f . Find the intervals where f is
increasing and decreasing. Determine if the critical numbers of f
correspond with local maximums or local minimums. Find the
intervals where f is concave up and concave down. Find any
inflection points of f