Question

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 :)

Answer #1

Let f(x)= 3x^2-6x+1. Express this quadratic function in the
standard form . Find the vertex, the minimum or maximum value of
function , x-intercepts, y-intercept, domain and range. Show your
table of values, and sketch the graph.

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.

Let
f(x)=(x^2)/(x-2) Find the following
a) Domain of f
b) Intercepts (approximate to the nearest thousandth)
c) Symmetry (Show testing for symmetry)
d) asymptotes
e) Intervals of increase/decrease (approximate the critical
numbers to the nearest thousandth. Be sure to show the values
tested)
f) Local maxima and local minima
g) Intervals of concavity and points of inflection (be sure to
show all testing)
h) summary for f(x)=(x^2)/(x-2)
Domain
X intercepts:
Y intercept:
symmetry:
asymptote:
increasing:
decreasing:
local max:
local min:...

(i) Given the function f(x) = x3 − 3x + 2
(a) What are the critical values of f?
(b) Find relative maximum/minimum values (if any). (c) Find
possible inflection points of f.
(d) On which intervals is f concave up or down?
(e) Sketch the graph of f.
(ii) Find a horizontal and a vertical asymptote of f(x) = 6x .
8x+3

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)...

use f(x)=2x^4-4x^2-4 to answer the following.
a) find where f(x) is increasing or decreasing
b) find where f(x) is concave up or down
c) find the coordinates of all relative extrema

Suppose that
f(x)=x−3x^1/3
(A) Find all critical values of f. If there are no critical values,
enter -1000. If there are more than one, enter them separated by
commas.
Critical value(s) =
(B) Use interval notation to indicate where f(x) is
increasing.
Note: When using interval notation in WeBWorK,
you use INF for ∞∞, -INF for
−∞−∞, and U for the union symbol. If there are no
values that satisfy the required condition, then enter "{}" without
the quotation marks....

. Let f(x) = 3x^5/5 −2x^4+1. Find the following:
(a) Interval of increasing:
(b) Interval of decreasing:
(c) Local maximum(s) at x =
d) Local minimum(s) at x =
(e) Interval of concave up:
(f) Interval of concave down:
(g) Inflection point(s) at x =

Graph the quadratic function f x( ) = −2x 2 + 6x − 3. Give the
vertex, axis, x-intercepts, y-intercept, domain, range, and
intervals of the domain for which the function is increasing or
decreasing.

Let f(x) = 3x^5/5 −2x^4+1 Find the following
-Interval of increasing
-Interval of decreasing
-Local maximum(s) at x =
-Local minimum(s) at x =
-Interval of concave up
-Interval of concave down
-Inflection point(s) at x =

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