we are given
Graph:
we can draw graph on window
(a)
Local minima:
It is the valley points
so, we get
(b)
Local maxima:
It is the peak points
so, we get
(c)
Increasing intervals:
When curve is moving upward
so, we get
(d)
Decreasing interval:
When curve is moving downward
so, we get
need help with these.please. I-8 Let f(2) Find the open intervals on which fis increasing (decreasing). Then determine the x-coordinates of +8 all relative maxima (minima). 1. f is increasing on the intervals 2. fis decreasing on the intervals 3. The relative maxima of f occur at - 4. The relative minima off occur at 2 - Notes: In the first two your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such...
question 8 has parts (A-I) Problem 8. 1 point) Suppose that f(x) (9 6x)e Note: Several parts of this problem r (A) List all the critical values of fx) Note: If there are no critical values, enter NONE require answers entered in interval notation. Note, with interval notation, you can enter the empty set as (B) Use interval notation to indicate where f(z) is increasing increasing (C) Use interval notation to indicate where f(z) is decreasing Decreasing (D) List the...
(1 point) Below is the graph of the derivative f'(x) of a function defined on the Interval (0,8). You can click on the graph to see a larger version in a separate window. n (A) For what values of x in (0,8) is f(x) increasing? Answer: Note: use interval notation to report your answer. Click on the link for details, but you can enter a single interval, a union of intervals, and if the function is never increasing, you can...
4. Below is a piecewise function, determine -5 lim,f(x)= c, lim f(x)= e. lim f(x)- d. y = sin x (not drawn to scale) explain Consider the piece of f(x) in the first quadrant resembling e. Determine lim sinand the behavior of the graph near zero. 5. Using your graphing calculator sketch h(x)-x4-2x3 over [-2,2] below, find the critical values and on the graph label the coordinates of any local, global(absolute) minima, maxima or point of inflection on the sketch,...
12. (20 points) Sketch the graph of the function f(x) which satisfies the following conditions. Using interval notation list all intervals where the function fis decreasing, increasing, concave up, and concave down. List the x-coordinates of all local maxima and minima, and points of inflection Show asymptotes with dashed lines and give their equations. Label all important points on the graph. a. f(x) is defined for all real numbers 2x b. f(x) = -1 2 c. f'(x) - d. f(2)...
12. (20 points) Sketch the graph of the function f(x) which satisfies the following conditions. Using interval notation list all intervals where the function f is decreasing, increasing, concave up, and concave down. List the x-coordinates of all local maxima and minima, and points of inflection Show asymptotes with dashed lines and give their equations. Label all important points on the graph. -1 2 a. f(x) is defined for all real numbers 2x b. f'(x) = c. f"(x) = (x-1)...
12. (20 points) Sketch the graph of the function f(x) which satisfies the following conditions. Using interval notation list all intervals where the function f is decreasing, increasing, concave up, and concave down. List the x-coordinates of all local maxima and minima, and points of inflection. Show asymptotes with dashed lines and give their equations. Label all important points on the graph. 2x X-1 2. a. f(x) is defined for all real numbers b. f'(x) = c. f"(x) = (x-1)2...
(20 points) Sketch the graph of the function f(x) which satisfies the following conditions. Using interval notation list all intervals where the function fis decreasing, increasing, concave up, and concave down List the x-coordinates of all local maxima and minima, and points of inflection. Show asymptotes with dashed lines and give their equations. Label all important points on the graph. 1 a f(x) is defined for all real numbers b. f'(x) = c. f"(x) = (x-1) d. f(2)= 2 e...
3. (16 points) (a) The graph of f(z) is given below. Using the graph, determine each of the following: i) 2-coordinate of local maxima ii) D-coordinate of local minima iii) open interval(s) on which is INCREASING between 1 = A and 2 =D iv) open interval(s) on which f is DECREASING between 2 = A and 1=D v) open interval(s) on which f is CONCAVE UP between 1 = A and z =D vi) open interval(s) on which f is...
Suppose that f(x)=ln(8x+6) (A) List all the critical values of f(x). Note: If there are no critical values, enter 'NONE'. (B) Use interval notation to indicate where f(x)f(x) is increasing. Note: Use 'INF' for ∞, '-INF' for −∞, and use 'U' for the union symbol. If there is no interval, enter 'NONE'. Increasing: (C) Use interval notation to indicate where f(x) is decreasing. Decreasing: (D) List the xx values of all local maxima of f(x). If there are no local...