Question

In: Math

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

Solutions

Expert Solution


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 (?,?)...
y=x2/(7x+4) determine the intervals on which the function is increasing, decreasing, concave up, concave down, relative...
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 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]
Determine the intervals on which the function below is increasing or decreasing, concave or convex. Determine...
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
Determine over which intervals the following functions are increasing, decreasing, concave up, and concave down y...
Determine over which intervals the following functions are increasing, decreasing, concave up, and concave down y = x + sin(πx)
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.
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.
Determine the open intervals on which the function is increasing and on which the function is...
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
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.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT