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.
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 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
(?,?)...
y=x2/(7x+4) determine the intervals on which the
function is increasing, decreasing, concave up, concave down,
relative maxima and minima, inflection points symmetry vertical and
non vertical asymptotes and those intercepts that can be obtained
conveniently and sketch the graph
Determine the intervals on which the function below is
increasing or decreasing, concave or convex. Determine also
relative maxima and minima, inflections points, symmetry,
asymptotes, and intercepts if any. Then sketch the curve.
. ? = 3?+3/(3? − 3)^2
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.
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.
Determine the open intervals on which the function is increasing
and on which the function is decreasing. Enter ∅ to indicate the
interval is empty.
f(x)=−4x^3−12x^2+36x