Question

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.

Increasing:

(C) Use interval notation to indicate where f(x) is
decreasing.

Decreasing:

(D) Find the x-coordinates of all local maxima of f. If there are
no local maxima, enter -1000. If there are more than one, enter
them separated by commas.

Local maxima at x =

(E) Find the x-coordinates of all local minima of f. If there are
no local minima, enter -1000. If there are more than one, enter
them separated by commas.

Local minima at x=

(F) Use interval notation to indicate where f(x) is concave
up.

Concave up:

(G) Use interval notation to indicate where f(x) is concave
down.

Concave down:

(H) Find all inflection points of f. If there are no inflection
points, enter -1000. If there are more than one, enter them
separated by commas.

Inflection point(s) at x =

Answer #1

Suppose that f(x)=6/x^2−25. (A) List all critical numbers of f.
If there are no critical numbers, enter 'NONE'. (B) Use interval
notation to indicate where f(x) is increasing. Note: Use 'Inf' for
∞, '-Inf' for −∞, and use 'U' for the union symbol. (C) Use
interval notation to indicate where f(x) is decreasing. (D)List the
x-coordinates of all local maxima of f. If there are no local
maxima, enter 'NONE'. (E) List the x-coordinates of all local
minima of f....

Suppose that f(x)=x^4-3x^3.
(A) List all the critical values of f(x). Note: If there are no
critical values, enter 'NONE'
(B) Use interval notation to indicate where f(x) is
increasing.
Note: Use 'INF' for ∞, '-INF' for −∞, and use 'U'
for the union symbol.
(C) Use interval notation to indicate where f(x) is
decreasing.
(D) List the xx values of all local maxima of f(x). If there are
no local maxima, enter 'NONE'.
(E) List the xx values of...

Suppose that
f(x)=4x2ln(x),x>0.f(x)=4x2ln(x),x>0.
(A) List all the critical values of f(x)f(x). Note: If there are
no critical values, enter 'NONE'.
(B) Use interval notation to indicate where f(x)f(x) is
increasing.
Note: Use 'INF' for ∞∞, '-INF' for −∞−∞, and use
'U' for the union symbol. If there is no interval, enter
'NONE'.
Increasing:
(C) Use interval notation to indicate where f(x)f(x) is
decreasing.
Decreasing:
(D) List the xx values of all local maxima of f(x)f(x). If there
are no local...

Let f (x) = 3x^4 −4x^3 −12x^2 + 1, deﬁned on R.
(a) Find the intervals where f is increasing, and decreasing.
(b) Find the intervals where f is concave up, and concave
down.
(c) Find the local maxima, the local minima, and the points of
inflection.
(d) Find the Maximum and Minimum Absolute of f over [−2.3]

Consider the function
f(x)=
x3
x2 − 4
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=
.
On which intervals is the function positive?
On which intervals is the function negative?
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
equations):
Vertical asymptote (left):
;
Vertical...

f(x)=4x^3+9x^2−12x−3.
1.Find the interval(s) on which f is increasing.
Answer (in interval notation):
2. Find the interval(s) on which f is
decreasing.
Answer (in interval notation):
3. Find the local maxima of f. List
your answers as points in the form (a,b)
Answer (separate by commas):
4. Find the local minima of f.f. List
your answers as points in the form (a,b)
Answer (separate by commas):
5. Find the interval(s) on which f is concave
upward.
Answer (in interval notation):...

1) Use the First Derivative Test to find the local maximum and
minimum values of the function. (Enter your answers as a
comma-separated list. If an answer does not exist, enter DNE.):
g(u) = 0.3u3 + 1.8u2 + 146
a)
local minimum values:
b)
local maximum values:
2) Consider the following:
f(x) = x4 − 32x2 + 6
(a) Find the intervals on which f is increasing or
decreasing. (Enter your answers using interval notation.)
increasing:
decreasing:...

Find the x-coordinates of all local maxima.
g(x)=x^9−3x^7+2
If there are multiple values, give them separated by commas.
Enter them as exact answers.

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)...

given function f(x)=-x^3+5x^2-3x+2
A) Determine the intervals where F(x) Is increasing and
decreasing
b) use your answer from a to determine any relative maxima or
minima of the function
c) Find that intervals where f(x) is concave up and concave
down and any points of inflection

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