The function defined by f(x) = x4 + 5x3 - 48x? - 252x has the graph, as shown. 1400 Use the graph to factor the polynomial. -6 - 1400 What is the factored form of the polynomial? f(x)=N (Simplify your answer. Type your answer in factored form.)
B and C Please! Rate for sure Letf be the function given by f(x)--16x2 +64x and let line l be the line tangent to the graph off atx-2, as shown in the figure to the right. Let R be the region bounded by the graph of f and the x-axis and let S be the region bounded by the graph of f line I, and the x-axis. a. Find the equation of line 1 C2- 64+61-12 - 72 C2,72 b....
5. Given the function f(x)=x4 - 4x3 a) find f'(x) and the critical numbers of f. b) determine the interval(s) on which the graph off is increasing c) find f"(x) and the x-coordinates of the possible inflection points d) determine the interval(s) on which the graph off is concave down.
2. (10 points) For function f(x) = 4x3 – x4, find: (a) the critical points; (b) the open intervals on which the function is increasing or decreasing; (c) locate all relative extrema.
(1 point) Find the maximal and minimal values for the function f(x) = x4 – 4x3 + 4x2 + 7 on the interval [–2, 3). The maximal value is The minimal value is (1 point) Find the maximal and minimal values for the function k(x) = (x2 – 4)3 – 1 on the interval (-1, 3). The maximal value is The minimal value is
please i need the answers asapp 2. (10 points) For function f(x) = 4x3 – x4, find: (a) the critical points; (b) the open intervals on which the function is increasing or decreasing; (c) locate all relative extrema.
Find the critical points of the following function. f(x) = 4x3 - 29 2 x² + 158 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The critical point(s) occur(s) at x = (Use a comma to separate answers as needed.) OB. There are no critical points.
For the polynomial function f(x)=x^4+8x^3+16x2 answer the following: A. Using the leading coefficient test , determine the graphs end behaviour. B. Find the X-intercepts and at which x-intercept does the graph cross the x-axis? C. At which x intercepts does the graph touch the x axis and turn around? D. What is the y intercept? E Determine whether the graph has y axis symmetry, origin symmetry or neithr. F.If necessary, find a few additional points and graph the function. Use...
Given the function 1 f(x,y) = answer the following questions. 36 - 16x2 - 16y2 a. Find the function's domain. b. Find the function's range. c. Describe the function's level curves. d. Find the boundary of the function's domain. e. Determine if the domain is an open region, a closed region, both, or neither. f. Decide if the domain is bounded or unbounded. a. Choose the correct domain. OA. 9 The set of all points in the xy-plane that satisfy...
se the graph of y= f(x) to graph the function g(x) 2f(x-2)+ 2 Choose the correct graph ofg below. y fx) Ay 8- O A. B. 6- 4- 2 O C. O D. 4 -6 Click to select your answer. C