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9. For the function f(x) = -x? - 8x-13 (Section 5.7) | -4 Does the function...
For the indicated function, find the values f(-9), f(0), and f(4). x, if x < 0 f(x)= 8x + 6, if x 20 f(- 9) = f(0) = f(4) = State whether f(x) has a maximum value or a minimum value, and find that value. f(x) = 2x² - 4x - 6 The function has a value of Graph the case-defined function and give the domain and range x+2 xs2 f(x)= Choose the correct graph of the function below. OA...
3. A function f(x) that you do not know has the following properties. (6 points total) The domain of the function is (-00,00), and the graph off has no discontinuities. • f'(0) = 0 and f'(9) = 0. . f"(x) > 0 on the interval (-0,3), and F"(x) < 0 on the interval (3,00). f"(3) = 0. a) At what value of x does f(x) have a local minimum? How do you know that there is a minimum here? (3...
Let ?(?)=?2−8?+4f(x)=x2−8x+4. (1 point) Let f(x) = x2 – 8x + 4. Find the critical point c of f(x) and compute f(c). The critical point c is = The value of f(c) = Compute the value of f(x) at the endpoints of the interval [0, 8]. f(0) = f(8) = Determine the min and max Minimum value = Maximum value = Find the extreme values of f(x) on [0, 1]. Minimum value = Maximum value =
Given the quadratic function f(x) = -x? - 7x+3, address the following. a. Does the function have a maximum or minimum value? b. What is this maximum or minimum value? a. Does the function have a maximum or minimum value? O Minimum O Maximum
Find the absolute maximum and minimum of the function f(x,y)=2x? - 8x + y2 - 8y + 7 on the closed triangular plate bounded by the lines x = 0, y = 4, and y = 2x in the first quadrant. On the given domain, the function's absolute maximum is The function assumes this value at . (Type an ordered pair. Use a comma to separate answers as needed.) On the given domain, the function's absolute minimum is The function...
Chapter 13, Section 13.9, Question 006 Consider the function f (x, y) = 1x2 – 5y2 subject to the condition x² + y2 = 9. Use Lagrange multipliers to find the maximum and minimum values of f subject to the constraint. Maximum: Minimum: Find the points at which those extreme values occur. (3,0), (0,3), and (3,3) O (-3,0) and (0, – 3) (3,0), (-3,0), (0,3), and (0, – 3) O (3,0), (-3,0), (0,3), (0, – 3), (3,3), and (-3, -...
how to solve this? The function f is one-to-one. Find its inverse. f(x) = 8x² +9, x20 O A f'(X) = 8 √x-9 X20 B. f'(x) = X-9 8 X29 c. f-'(x) = 8 X-9 X>9 Ix-9 OD. F"(x) = - 8,x29
The one-to-one function f is defined below. 8x-9 7x+4 Find f '(x), where s' is the inverse of f. Also state the domain and range of fin interval notation. (0,0) 0,0 DUD (0,0] [0,0) 1 - Domain off o -00 Range of X 5 ?
3. Suppose f(x,y,2)-sin2(x)-2sin(x) + y. 4 y z + 52.62. Find the minimum value of this function. you must find the point at which the minimum occurs and "prove" that the function really has a mini mum there. Does the function have a maximum? If we restrict the variables to the ball of radius 1, centered at the origin, does the function have a maximum on that set? (You don't have to try to find the maximum but you should...
-/3 POINTS GHCOLALG12 3.3.052. Evaluate the piecewise-defined function. (8x if x < 0 f(x) = 9- if OS X < 8 (1x if x 28 (a) R-0.5) = (b) f(0) = (c) R(8) = Show My Work (Optional) 19. -/3 POINTS GHCOLALG12 3.3.064. Evaluate the function at the indicated x values. Rx) = [3x] (a) (6) (b) f(-4) = (c) R-1.8) - Show My Work (Optional)