Question
In: Math
1. Find the intervals on which the graph of f is concave upward, the intervals on...
1. Find the intervals on which the graph of f is concave upward, the intervals on which the graph of f is concave downward, and the inflection points. f(x)= -x^4 + 12x^3 - 12x + 19 For what interval(s) of x is the graph of f concave upward?
2. For the function f(x)= (8x-7)^5
a. The interval(s) for which f(x) is concave up.
b. The interval(s) for which f(x) is concave down.
c. The point(s) of inflection.
Solutions
milcah answered 2 years agoRelated Solutions
Determine the intervals on which the graph of ? = ?(?) is concave up or concave...
Determine the intervals on which the graph of ? =
?(?) is concave up or concave down, and find the
?-values at which the points of inflection occur.
?(?)=? (? − 9 √x),
? > 0
(Enter an exact answer. Use symbolic notation and fractions
where needed. Give your answer in the form of a comma separated
list, if necessary. Enter DNE if there are no points of
inflection.)
? =
(Use symbolic notation and fractions where needed. Give your...
Determine the intervals on which the graph of ?=?(?) is concave up or concave down, and...
Determine the intervals on which the graph of
?=?(?) is concave up or concave down,
and find the points of inflection.
?(?) = (?^(2) − 17)
?^?
Provide intervals in the form (∗,∗).
Use the symbol ∞ for infinity, ∪ for combining intervals, and an
appropriate type of parenthesis "(", ")", "[", or "]", depending on
whether the interval is open or closed. Enter ∅
if the interval is empty.
Provide points of inflection as a comma‑separated list of
(?,?)...
Find the intervals where the graph of f(x)=2x^4-3x^2 is increasing, decreasing, concave up and concave down....
Find the intervals where the graph of f(x)=2x^4-3x^2 is
increasing, decreasing, concave up and concave down. Find any
inflection points, local maxima, or local minima. If none exist,
write NONE. You must do number line sign charts to receive any
credit.
4. Determine the intervals on which the graph of each function is concave up or concave...
4. Determine the intervals on which the graph of each function
is concave up or concave down and determine all points of
inflection. Justify your responses.
a) y=1/20x^5 + 1/4x^4 - 3/2x^3 - 27/2x^2 + x-4
b) y=2x^1/5 +3
1) Find the intervals on which f is increasing and the intervals on which it is...
1) Find the intervals on which f is increasing and the intervals
on which it is decreasing. f(x)= -x^3-6x
2) Find the intervals on which f is increasing and the intervals
on which it is decreasing. f(x)= x^4/4+x^3+x^2
3) Locate the critical points of the following function. Then
use the Second Derivative Test to determine whether they correspond
to local maxima, local minima, or neither. f(x)=
-x^3-3x^2
let f(x)= 1/(7x^2+8). Find the open intervals on which f is concave up (down). Then determine...
let f(x)= 1/(7x^2+8). Find the open intervals on which f is
concave up (down). Then determine the x-coordinates of all
inflection points of f.
Determine the intervals on which the function is concave up or concave down. f(θ) = 11θ + 11 sin2(θ), [0, π]
Determine the intervals on which the function is concave up or concave down. f(θ) = 11θ + 11 sin2(θ), [0, π]
1. You are given the graph of a function f. Determine the intervals where f is...
1. You are given the graph of a function f. Determine
the intervals where f is increasing, constant, or
decreasing. (Enter your answers using interval notation. If an
answer does not exist, enter DNE.)
The x y-coordinate plane is given. The curve
enters the window in the second quadrant, goes down and right
becoming less steep, changes direction at the point (−1, 0), goes
up and right becoming more steep, passes through the approximate
point (−0.58, 0.44), goes up and...
f(x) = x4 − 128x2 + 7 (a) Find the intervals on which f is increasing...
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 ...
Given f(x) = x^4 - 4x^3 1) find the intervals on which f is increasing or...
Given f(x) = x^4 - 4x^3
1) find the intervals on which f is increasing or
decreasing.
2) find the local maximum and minimum values of f.
3) find the intervals of concavity and the inflection points
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