Find the values of m and n such that the function f defined by is continuous. m = Number n= Number f(x) = 4(4-2²) x-2 5x +m 4x² - 5x+n if if if x < 2, 2 ≤ x ≤3 x > 3

Q: For the piecewise function, find the values h(-10), h(0), h(1), and h(6). - 4x - 20, for x < - 3…

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Q: Match the piecewise function with its graph. (2x-1, if x-1 A) B) 8 -6 -4 -2 C) D) -4 -6 -4 E) AB) -6…

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Q: if x 2 .2 x-4

A: We will choose the function according to limit.

Q: (2-3x -15xS1 (x)={x-2 nsider the piecewise linear function given by the formula f (x) =< Determine…

A: To find the solution of the given equations

Q: The graph of a function fis formed by vertically stretching the graph of y = √x by a factor of 2,…

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Q: Let f = x²-12x+27 x² - 6x +9 At which point f has a continuous extension?

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Q: What is the vertex of the following function? f(x) = x² + 4x +3 (-1,4) (-2,-1) (4,3) (-4, 3)

A: Solution : Given that f(x) = x^2 + 4x + 3 For vertex of the given function , f'(x) = 0

Q: for all real nombers, as fllou) -7

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Q: Refer to the following functions: p(x) = x2 + 2x – 15 x +1 9(x) x-3 r(x) = v7-x Which of the…

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Q: Show if the following functions are concave or convex. f(x₁, x₂) = -x-x₁x₂ - 2x²; S = R² f(x1, x2,…

A: Given :  fx1,x2=-x12-x1x2-2x22fx1,x2,x3=-x12-x22-2x32+0.5x1x2 To check that functions are concave or…

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A: To find the domain: f(x)=x2-25x-5. Solution: We know, a rational function is defined for all real…

Q: Use the piecewise defined function. Find the following.  fx= 5-4× if x is less than or greater than…

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Q: The interval for function 5x - 3 < 7- 3x is .2

A: Given : Function 5x - 3 ≤ 7 - 3x 5x - 3 - (7 - 3x) ≤ 0 5x - 3 -7 + 3x ≤ 0 8x - 10 ≤ 0 8x ≤ 10 x ≤…

Q: If the function is f(x) =3x+5 and the domains are -1, 0,4,7, what's the range

A: Given function is f(x)=3x+5 given domains are -1,0,4,7 find the range of the function

Q: Determine when the function f(x) = 6x³ - 58x² +130x + 50 is less than 0. 1 a. x5 X5 3² 5 b. X<_1 3 O…

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Q: 2. define the functions f(x1, x2) = x1x2 the largest and smallest value in the set x12 + 4x22 = 8.

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Q: Find the point(s) of discontinuity of the piece-wise function f given by f(x) = |x| +3 if xs-3; -2x…

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Q: 2. Evaluate the piecewise defined function at the indicated values. x2 + 4x if x s -3 Ax) = {x if -3…

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Q: a student states that the domain of the function f(x) is the set of all real number except 2,6,15…

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Q: Find the rule of the function associated with the following table. 1 2 3 y 1 - 3 -7 -11 y = -4x+1 y…

A: We have to find the function y x 0 1 2 3 y 1 -3 -7 -11

Q: Each function F has domain (0,1,...,23,24). Which function F satisfies the 5-to-1 rule? F(x) =…

A: A function f is said to follow 5-to-1 rule if for every value y in the range of f, there exists five…

Q: Va + 7 Determine the domain of the following function: f(x): %3D Ox 2 - 7 and z 3 Or + 3 and a # -7…

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