Question

In: Math

Let f(x)=(x^2)/(x-2) Find the following a) Intervals of increase/decrease (approximate the critical numbers to the nearest...

Let f(x)=(x^2)/(x-2) Find the following
a) Intervals of increase/decrease (approximate the critical numbers to the nearest thousandths be sure to show the values tested)
b) Local maxima and local minima
c) Intervals of concavity and points of inflection (show all testing)
d) Graph (x^2)/x-2 Label the intercepts,max/min, and inflection points. Indicate the window used on your calculator

Solutions

Expert Solution



Related Solutions

a) Let f(x) = −x^4 − 4x^3 . (i) Find the intervals of increase/decrease of f....
a) Let f(x) = −x^4 − 4x^3 . (i) Find the intervals of increase/decrease of f. (ii) Find the local extrema of f (values and locations). (iii) Determine the intervals of concavity. (iv) Find the location of the inflection points of f. (v) Sketch the graph of f. (You can choose your own scale for the graph) b) A farmer wants to fence in an area of 6 km2 in a rectangular field and then divide it in half with...
Let f(x) = −x^4 − 4x^3. (i) Find the intervals of increase/decrease of f. (ii) Find...
Let f(x) = −x^4 − 4x^3. (i) Find the intervals of increase/decrease of f. (ii) Find the local extrema of f (values and locations). (iii) Determine the intervals of concavity. (iv) Find the location of the inflection points of f. (v) Sketch the graph of f. (You can choose your own scale for the graph)
Find intervals of increase/decrease, max/min values, intervals of concavitiy. f(x)=x^3 -3x^2 +2
Find intervals of increase/decrease, max/min values, intervals of concavitiy. f(x)=x^3 -3x^2 +2
1, Let f(x)=x^4-4x+10 Find the intervals of increase and decrease. A well labeled sign chart is...
1, Let f(x)=x^4-4x+10 Find the intervals of increase and decrease. A well labeled sign chart is usually enough here. 2, For the same function find relative extrema as ordered pairs. 3, For the same function find intervals of concavity (concave up/down) and any inflection points as ordered pairs.
4 parts following these instructions Find the critical numbers for f and the open intervals on...
4 parts following these instructions Find the critical numbers for f and the open intervals on which f is increasing (decreasing) For the first question, your answer should be a comma-separated list of x values or the word "none". For the other two, your answer should either be a single interval, such as (0,1), a comma-separated list of intervals, such as (-inf, 2), (3,4), or the word "none". answeres needed for each part 1.   The critical numbers for f are...
f(x)= x5 − 5x Find the x− and y−intercept, critical numbers, increasing and decreasing intervals, local...
f(x)= x5 − 5x Find the x− and y−intercept, critical numbers, increasing and decreasing intervals, local minimum and maximum, f''(x), intervals of concavity up and down, and inflection points.
f(x)=x^4-24x^2 Determine the intervals of increase and decrease for f (x) Use the First Derivative Test...
f(x)=x^4-24x^2 Determine the intervals of increase and decrease for f (x) Use the First Derivative Test to find all local maxima and minima for f (x) . Determine the intervals where f (x) is concave up and concave down Find any inflection points of f (x) . Please show the work
f(x)=e^x/(x+1) Find the vertical and horizontal asymptotes using limits. Also, intervals of increase and decrease, local...
f(x)=e^x/(x+1) Find the vertical and horizontal asymptotes using limits. Also, intervals of increase and decrease, local extrema. Finally, find the intervals of concavity and points of inflection.
part 1) Let f(x) = x^4 − 2x^2 + 3. Find the intervals of concavity of...
part 1) Let f(x) = x^4 − 2x^2 + 3. Find the intervals of concavity of f and determine its inflection point(s). part 2) Find the absolute extrema of f(x) = x^4 + 4x^3 − 8x^2 + 3 on [−1, 2].
Given: f (x) = (x − 2)/(x^2 − x +1)^2 a) Find the intervals where f(x)...
Given: f (x) = (x − 2)/(x^2 − x +1)^2 a) Find the intervals where f(x) is increasing, and decreasing b) Find the intervals where f(x) is concave up, and concave down c) Find the x-coordinate of all inflection points.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT