If the value of y increases as x increases then function is
increasing else the function is decreasing.
22)
increasing(-?,-3) ? (3,?)
decreasing(-3,3)
24)
increasing(-8,-3) ? (3,7)
decreasing(-3,3)
22+ 24 only For the following exercises, consider the graph shown in Figure 1. 80 22....
> Derivatives and the shape of a graph 4- For the following exercises, determine a. intervals where fis increasing or decreasing, b. local minima and maxima off, c. intervals where fis concave up and concave down, and d. the inflection points off 226. f(x)= x4 - 6x3 228. f(x)= x + x2-r3 5- For the following exercises, determine a. intervals where fis increasing or decreasing, b. local minima and maxima off, c. intervals where fis concave up and concave down,...
Let F(x) = f f (t) dt for 2 in the interval (0,3), where f (t)is the function with the graph given in the following diagram. Ne 1 37 - 1 -2 Which of the following statements are true? Select all that apply. Fhas a local maximum at 2. F has a local minimum at 2. F is increasing on the intervals (0,0.5) and (2.5, 3). Fis decreasing on the interval (1.5, 2.5).
show detailed work in each problem
For the following exercises, find the local and/or absolute maxima for the functions over the specified domain. 128. y = 4 sin - 3 cose over [0, 21) For the following exercises, show there is no c such that f(1)-f(-1) = f'(c)(2). Explain why the Mean Value Theorem does not apply over the interval [-1, 1). 168. f For the following exercises, determine a. intervals where f is increasing or decreasing, b. local minima...
2. (4+6+2+4+2+6=24 points Consider the function f(x) = -1 (a) Find any vertical and horizontal asymptotes off. (b) On what intervals is f increasing? decreasing? (c) Find all local maximum and minimum values of (d) On what intervals is f concave up? concave down? (e) Find all inflection points of f. (f) Using the information from (a) to (e), sketch a graph of J. Clearly label any asymptotes, local extrema, and inflection points.
Please answer clearly and step by step, thank you!!!!
1. Below is a function f for which f' and tâ have already been computed for you. f(x) = 24 â 43% + 162 ' (t) = 4(x + 1)(x - 2) 2 f "(t) = 122(x â 2) (a) Find the intervals where f is increasing/decreasing (or write "none"). Also find the L-values where a local maximum/minimum occurs (or write "none.") Increasing on: Decreasing on: Local Max(s) at 2= Local...
Please respond these math problems
In Exercises 17-19, Use the graph to determine a. The functions domain b. The function's range: C. The X-intercepts, if any, a the y- untercept, if there is one e. Intervals on which the function is increasing, decreasing, or constant; and F. the missing function values indicated by question marks, below each graph. 17. y = f(x) y y 18. 3 2 1 2+ 1 2 3 4 -11 1 2 3 4 5 -2...
15-16 The graph of the derivative f' of a continuous function f is shown. (a) On what intervals is f increasing? Decreasing? (b) At what values of x does f have a local maximum? Local minimum? (c) On what intervals is f concave upward? Concave downward? (d) State the x-coordinate(s) of the point(s) of inflection. (e) Assuming that f(0) = 0, sketch a graph of f. 15. y A y = f'(x) --2 0 2 6 8 x -2
Refer to the graphs in the specified exercises from Section 2.5.
For each graph, determine the following: the domain and range (use
interval notation), the zeroes of the function (use set notation
and write the values in increasing order), the open intervals on
which the function is positive or negative (interval notation), the
open intervals on which the function is increasing and decreasing
(interval notation), and any local max or local min value(s) (write
as points separated by commas, if...
1. (30 pts.) Given that. (.r) = Determine 22-1 (a) The domain and intercepts of f. (b) Asymptotes off. (c) The intervals where f is increasing and where f is decreasing, (d) Local minimum and maximum values off. (e) Intervals where f is concave up and where f is concave down, (S) Inflection point off, (9) Sketch the graph of f. (You have to show all steps clearly otherwise you won't be awarded any credit)
For the graph of a function y = f(x) shown to the right, find the absolute maximum and the absolute minimum, if they exist. Identify any local maxima or local minima. Select the correct answer below and, if necessary, fill in the answer boxes to complete your choice. A. The absolute maximum of y= f(x) is f(_______ ) = _______ (Type integers or simplified fractions.) B. There is no absolute maximum for y = f(x). For the graph of a function y = f(x) shown...