The function has maximum or minimum at F'(x) = 0
f(x) = 4x2 - 12x
f'(x) = 8x -12 = 0 , which gives x = 3/2
also f''(x) = 8 > 0, which confirms that function has a minima
f(3/2) = 4(3/2)2 -12(3/2) = 9 -18 = -9
point= (3/2,-9) minima
option A
lelud Jump VORK # 2 SUM B Test Content Question 1 5 Points Determine whether the...
Question 3 (5 points) Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point. f(x) = x2-2s-5 oe ? Format
Question 16 Determine whether the quadratic function, f (x) = 4x- 8z, has a minimum value or a maximum value. coordinates of the minimum or maximum point. minimum;(-1,-4) minimum: (1,-4) maximum: (1,-4) maximum:(-1,-4) Previds lir
5. For the quadratic function f(x) = x2 – - ***2 – 4x + 1: a) write it in the form f(x) = a(x – h)2 + k b) identify the coordinates of the vertex c) state whether there is a maximum or minimum and identify where it occurs
f(x,y)=〖2x〗^2-12x+y^2-6y+10 (a). Explore the function for local minima and maxima: find critical points and determine the type of extremum. (b). Explore the given function for absolute maximum in the closed region bounded by the triangle with vertices (0,0), (0,3) and (1,3) (c). Identify if there are any critical points inside the rectangle. (d). Explore the function at each of three borders. (e)Determine absolute maximum and minimum. (f). Find critical points of the given function f(x,y) under the constrain x^2-y^2 x=4x+10
Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find the value. f(x) = -3x2 + 6x The quadratic function has a maximum value. The value is
please answer ALL questions. Show all steps clearly, to receive full marks for your solutions. Use the discriminant to determine the number of x-intercepts for each quadratic function: .ft) = 3x - 5x+ f = 2x +x+1 f(x) = 4x - 12x + 9 16 marks) 15. Express the function f(x) = 47° - 12x + 5 in factored form and determine the -intercepts and the vertex Sketch the graph of the function. State the minimum or maximum value. (9...
help on B and D MATH 2411 Test 3 Initials: NC D. (3 points) Sketch the graph of a function that has no local maximum at (-3,5), local minimum at (2-4), and (iii) a y-intercept of -1. C. (4 points) Find the inflection point(s) for f(x) - **- 6x?. Express your answers in ordered pairs. f'(=4x3-12x f"(x)=12x2 -12 1282-1220 1 2x2 =12 x 21 1114-1025 (-1) 4-66-425 |(1,-5),(-1,-5) D. (5 points) For ) - 2r on [-3, 1), find the...
(5) For the following function, f(x) = -3r+30x+4 (a) Find the vertex (b)Determine whether there is a maximum or minimum value. Find that value (c) Make a rough sketch of the graph showing the point where the maximum or minimum value lies (d) Find the range (e) Find the intervals on which the function is increasing and the intervals on which the function is decreasing.
Q4: Solve the payoff matrix Example-1 Player B П I III IV V -2 0 0 5 Player A III II 3 2 2 7 4 0 -2 6 IV 5 3 4 2 -6 Q5: Determine the maximum and minimum values of the function: f(x)= 12x-45x 40x' +5 Q6: Find the second order Taylor's series approximation of the function ) =x}x, +xe about the point х*- Q7: Find the extreme points of the function f(x,x)xx+2x + 4x +6 Q8:...
Find the critical points of the function and use the First Derivative Test to determine whether the critical point is a local minimum or maximum (or neither). (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) FX) 23 local minimum X local maximum X- neither Determine the intervals on which the function is increasing or decreasing, (Enter your answers using interval notation Enter EMPTY or for the empty set.) increasing decreasing Submit Answer