The Range of the quadratic function f(x) = -x² + 15x + 45 is O (0,8] О -45, 8 O [-8, 0) O [45, 0) O (-∞,45]

Q: 1. Determine a possible quadratic function in standard form with a root at x=2+2.

A:

Q: The function given by f(x) = -3x + V2x + -x (is/is not) a polynomial function.

A: A polynomial is a function such as quadratic, cubic and so on which involve only non-negative…

Q: Find the absolute maximum value of f(x) = x² – 2x + 8 over the interval [0,5|

A: The objective of the question is determine the absolute maximum value of the given function.

Q: The equation of a quartic function with x-intercepts at 1 (order 2), -3 (order 1), 2 (order 1) and…

A: Let's find.

Q: find a so that f (x) = ax2 + 8x -8 has a minimum value of -24

A: According to the given information, it is required to find the value of a so, that the function f(x)…

Q: Find the maximum point for the function f(x) = 1 + 12x – 4x O (-1, -7) O (2, -7) O (0, 1) (1, 9)

A:

Q: 2-→Find-the-residues of the-function-at-its-poles F1:(2)-(2-z-+3)/(z²-4)1

A: The given complex function is: F1(z)=2z+3z2-4

Q: 3. Find the absolute maximum and absolute minimum of f(x) = 2x³ - 6x +1 on [0,3].

A:

Q: Find the absolute maximum and minimum values of f(x)= x2/3,on the interval (2,3).

A:

Q: 5. Find a quadratic function f(x) = ax² + bx + c whose graph passes through (2,-1), and zeros of f…

A:

Q: Find the absolute maximum value of f(x) = x² – 2x + 12 over the interval [0, 4]

A: Use critical value and end points for absolute maxima and absolute minima.

Q: Determine the equation of a quartic function that has zeros of −4 , 1 , and 2 (order 2) and passes…

A: The polynomial has the form f(x)=a(x-a1)b1(x-a2)b2....(x-an)bn

Q: Find the absolute maximum and absolute minimum of - x2. f(x) = + x² – 15x over the interval [1, 5].…

A:

Q: Find an equation of the cubic polynomial f(x) = ax3 + bx2 + cx + d that passes through the given…

A:

Q: Find the absolute maximum and minimum values of f (x) = x³–6x²+5 on the interval [-3,5]. %3D

A: we find the absolute minimum and maximum value at the critical points and end point on the interval

Q: Find the global minimum of the function f (x) = 2x’ + 3x² – 12x + 4 on the interval [-4,2].

A:

Q: for what value of x does the function  f(x) = 1/3 x3 - 4x attain the absolute minimum in the…

A:

Q: function

A: Please refer to the image below

Q: Find the quadratic fúnction y= ax²+ bx +C whose graph pabses through the given points :(1,6),…

A: Given  The quadratic function y=ax2+bx+c and its graph is passing through the points 1,6,-1.-4  and…

Q: Find the absolute maximum and absolute minimum f(x) = + x2 24x over the interval 2, 6|. -

A:

Q: Determine a quadratic function in standard form that has roots x = 3i and x = -3i and also passes…

A:

Q: Show that if the quadratic polynomial f (x) = x2 + rx + s takes on both positive and negative…

A: Find the real roots of the polynomial,

Q: Find the absolute maximum value of f(r)= x-2x+ 16 over the interval 0, 5

A:

Q: Find a 4th degree function that has solutions X=-4-2/3 and x=-4+2/3, x=2i and x=-2

A: See the attachment

Q: The function Ax) = -2x(x - 1)(x - 2)(x+ 2) %3D has 4 zeros. has a maximum O as x→-∞, y–-∞ all of the…

A:

Q: the total daily profit of a certain food company for the sale of boxes of buko is given by the…

A: Given: The total daily profit of a certain food company for the sale of boxes of buko is given by…

Q: Find a cubic polynomial f(x)=ax3+bx2+cx+d that has horizontal tangents at the points (-5,2) and…

A: Calculation:Compute the derivative of y = ax3 + bx2 + cx + d as follows.y' = 3ax2 + 2bx +…

Q: How to Find the quadratic function f(x)= ax2+bx+c that goes through (3,0) and has a local maximum at…

A: NOTE: Refresh your page if you can't see any equations. . the vertex form of the parabola is given…

Q: 4. Find the maximum of the function f(x) = 100-(10 – x1)? – (5 – x2)? by Simplex Method. Take…

A: Given function is fx=100-10-x12-5-x22 Let the coordinates be x1,x2 And given initial coordinates are…

Q: 1. Express the quadratic function f1x2  x2  x  6 in standard form, and sketch its graph.

A: Given: f(x)=x2−x−6

Q: Find a quadratic function f (x) = ax2 + bx + c which has a vertex at (1, 1) and passes through (3,…

A:

Q: Find the absolute maximum and absolute minimum of f(x) =2x3-3x2-36x+2 on the interval [0,5]

A:

Q: | Find the minimum point for the function f(x) =1 + 12x – 4x (2,-7) (0, 1) Oa.9) (1, 9) O (-1, -7)

A:

Q: Find the absolute maximum value of f(x) = x² – 2x + 12 over the interval (0, 4]|

A: The absolute vale in the interval [0,4] for f(x) will be either at critical points or at end points.

Q: Find the absolute maximum and absolute minimum values of f(x) = 8+ 81x – 3x³ on the interval [0, 4].

A: Given function is  f(x) = 8 + 81x - 3x^3

Q: Find an 4th degree polynomial function with real coefficients whose zeros are 4,–1,2, v2i and a…

A: Here degree of polynomial is 4 so it has 4 roots.

Q: Find the absolute minimum and maximum of f(x) = 2x3 - 3x2 - 36x + 2 on [0,5]

A:

Q: Show solution/process. 1. f(x) = 2x² – 4x + 5 at the point (–1,11) 2. f(x) = v25 – x² at the point…

A: Since there are more than one question, only one question can be answered. The function is given by,…

Q: Use the Intermediate Value Theorem to prove that 8sinx = x has a solution between and a. 2

A: Let us consider a function f(x)= 8sinx-x

Q: Find the absolute maximum and absolute minimum values of the function f(x) = −x3 + 3x + 7 on the…

A: We find critical points by setting f'(x)=0 x=1 is not in the interval [-2,0]

Q: The absolute maximum and absolute minimum for the function f(x) = x² – 16x [0, 9] a on the interval…

A:

Q: The table shows the mass of a substance decreasing over a period of time during a chemical…

A: The table is formed between the mass of the substance with respect to time. Time (s) Mass (g) 2…

Q: . Find the absolute maximum and minimum values of f(x) = 2x3 − 21x2-21X 2+ 60x + 1 on the closed…

A: We have f(x) = 2x3 - 21x2 + 60x + 1 We find its derivative w.r.t. "x", f'(x) = 6x2 - 42x +60 To find…

Q: Find the absolute maximum value of f(x) = x² – 2x + 12 over the interval [0, 5]

A:

Q: Determine a quadratic function in vertex form given that it has a vertex at (3, 0) and passes…

A:

Q: True or False? The function k(x)=3x/the square root of 5-x is guaranteed to have an absolute…

A:

Q: Find the maximum value of the function (x1 + 4.x2)² f(#1, x2) = by expressing f (x1, x2) as the…

A:

Q: Find the maximum value of x if f(x)=6cos(x)–3x²-2x. Using Quadratic Interpolation with a relative…

A: The function given is as follows: fx=6cosx-3x2-2x We are asked to find the maximum of the function…

Q: Find the absolute maximum value of f(x) = x2 – 2x + 18 over the interval [0, 5]

A:

Q: 7. a) Determine the restrictions on the y- intercept so that y = 3x2 + 6x - 1 intersects with a line…

A: