f(x) = 1 2 x4 − 4x2 + 4
a) Find the interval of increase.
Find the interval of decrease
(b) Find the local minimum value(s)
Find the local maximum value(s).
(c) Find the inflection points
(x,y) x smaller value
(x,y) x larger value
f(x) = x4 − 128x2 + 7
(a) Find the intervals on which f is increasing or
decreasing. (Enter your answers using interval notation.)
increasing
decreasing
(b) Find the local maximum and minimum values of f. (If an
answer does not exist, enter DNE.)
local minimum value
local maximum value
(c) Find the intervals of concavity and the inflection points.
(Enter your answers using interval notation.)
concave up
concave down
inflection point
(x, y) =
(smaller x-value)
inflection point ...
1. Find the absolute minimum and maximum value of f(x) = x4 −
18x 2 + 7 (in coordinate form) on [-1,4]
2. If f(x) = x3 − 6x 2 − 15x + 3 discuss whether there are any
absolute minima or maxima on the interval (2,∞)
show work please
Consider the function f(x)=arctan [(x+6)/(x+5)] Express the
domain of the function in interval notation: Find the y-intercept:
y= . Find all the x-intercepts (enter your answer as a
comma-separated list): x= . Does f have any symmetries? f is even;
f is odd; f is periodic; None of the above. Find all the asymptotes
of f (enter your answers as comma-separated list; if the list is
empty, enter DNE): Vertical asymptotes: ; Horizontal asymptotes: ;
Slant asymptotes: . Determine the...
Consider the function f(x)=arctan [(x+6)/(x+5)]
Express the domain of the function in interval notation: Find
the y-intercept: y= . Find all the x-intercepts (enter your answer
as a comma-separated list): x= . Does f have any symmetries? f is
even; f is odd; f is periodic; None of the above. Find all the
asymptotes of f (enter your answers as comma-separated list; if the
list is empty, enter DNE): Vertical asymptotes: ; Horizontal
asymptotes: ; Slant asymptotes: . Determine the...
Find the absolute max and min of f(x)= e^-x sin(x) on the
interval [0, 2pi]
Find the absolute max and min of f(x)= (x^2) / (x^3 +1) when x
is greater or equal to 0