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

Expert Solution

milcah answered 2 years ago
Next > < Previous

Related 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
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT