Question

Given: ?(?) = 8/ (4−?^2) and ?(?) = sin(?) − ?. Answer the following for each of the functions given. (a) Find the domain (b) Find the intercept(s) (c) Find the asymoptote(s) (d) Find the possible critical and inflection numbers (e) Construct a sign table for Hint for (f(x), f'(x), and f'' (x) and show step by step (f) Find the intervals in which the function is increasing/decreasing (g) Find the intervals in which the function is concave up/down (h) Find the relative extrema and inflection points (i) Sketch the graph of the function

Show a complete sign chart for f(x), f"(x), and f''(x)

Answer #1

C

For f(x) , asymptote will be x=2, -2

And g(x) have no aymptotes.

D.

For finding criticsl points putting f'=0 gives

8x/(4-x^2) ^2=0 gives x=0 is the critical point.

And for inflection point putting f'' =0 gives x= √3/2,

-√3/2 are inflection points.

Now g(x) , g'(x) = cosx -1 =0 gives x= 2nπ are critical points.

And g'' =-sinx =0 gives x=nπ are inflection points.

For the function f(x)=x^5+5x^4-4. Write "none" if there isn't an
answer.
(a) find all local extrema of this function, if any, and
increasing and decreasing intervals.
Local max:___ Local min:___ Increasing:___ Decreasing:___
(b) Find all the inflection points of this function, if ay. And
concave up and concave down intervals.
Inflection points:___ concave up:___ concave down:___
(c) Use part a and b to sketch the graph of the function. Must
label important points and show proper concavity.

For the function
f(x) =x(x−4)^3
•
Find all
x-intercepts and find the
y-intercept
•
Find all critical numbers,
•
Determine where the function is increasing and where it is
decreasing,
•
Find and classify the relative extrema,
•
Determine where the function is concave up and where it is
concave down,
•
Find any inflection points, and Use this information to sketch
the graph of the function.
•
Use this information to sketch the graph of the function.

Analyze and sketch the graph of the function f(x) = (x −
4)2/3
(a) Determine the intervals on which f(x) is increasing /
decreasing
(b) Determine if any critical values correspond to a relative
maxima / minima
(c) Find possible inflection points
(d) Determine intervals where f(x) is concave up / down

Make a combined sign diagram for the first and second
derivatives of ?(?) that includes all C#’s, PIP’s, and domain
restrictions (vertical asymptotes). Identify all intervals of
increasing, decreasing, concave upward, concave downward, relative
extrema, and points of inflection. Sketch the graph of ?(?). Label
all plotted points on your graph. (with their ordered pairs) 31.
?(?) = (? + ?) (? − ?)^2

Given f(x)= x3 -
6x2-15x+30
Determine f ’(x)
Define “critical point” of a function. Then determine the
critical points of f(x).
Use the sign of f ’(x) to determine the interval(s) on which
the function is increasing and the interval(s) on which it is
decreasing.
Use the results from (c) to determine the location and values
(x and y-values of the relative maxima and the relative minima of
f(x).
Determine f ’’(x)
On which intervals is the graph of f(x)...

Question 1
With: ?(?) = ?3 + 4 ?2
What is the domain of ??
Find the equations of all the asymptotes of ? (if any) (at the
boundaries/holes of the domain)
Find the intercepts of ? (if any)
Is the function even? Odd? If yes, what symmetry will the graph
possess?
Do a sign chart of the first derivative, indicate the intervals
where ? is increasing/decreasing, and
find all the horizontal tangents of ? (if any).
Do a sign...

For f(x) xe-x
( a) Find the local extrema by hand using the first derivative
and a sign chart. b) Find the open intervals where the function is
increasing and where it is decreasing. c) Find the intervals of
concavity and inflection points by hand. d) Sketch a reasonable
graph showing all this behavior . Indicate the coordinates of the
local extrema and inflections.

given that f'(x)=-3x^2 -6x answer the following
what inteeval is f(x) increasing or decreasinf
find x coordinates of all inflection points of f(x)
on what interval is f(x) concave up and down
suppose (-2,0), (1,0) and (0,4) are intercepts of f(x) whose
domain is all real. sketch a possible graph of f(x)
find f(x) by integrating f'(x) and intercept information from
above
find all global extrema on interval [-1,5]
show work please and thanks in advance :)

Find the intervals where the function ?(?) = ? 3 + 15? 2 − 72? −
610 is increasing, decreasing and the value(s) where it has
extrema. Give the intervals where in its concave up, concave down,
and inflection point. Use this information to sketch a graph of the
function.

Consider the following. (If an answer does not exist, enter
DNE.)
f '(x) =
x2 + x − 30
(a)
Find the open intervals on which f ′(x) is
increasing or decreasing. (Enter your answers using interval
notation.)
increasing
(−12,∞)
decreasing
(−∞,−12)
(b)
Find the open intervals on which the graph of f is
concave upward or concave downward. (Enter your answers using
interval notation.)
concave upward
concave downward
(c)
Find the x-values of the relative extrema of
f. (Enter...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 49 minutes ago

asked 1 hour ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 4 hours ago

asked 4 hours ago

asked 5 hours ago