7. Determine whether the following functions have an absolute maximum or mini- mum. Find those values if possible. (a) f(x) = 11-2² on R; (b) f(x) = (x-1) on (-1; 1). 18 Let f be a function and h(x) = f(x-1). Show that if f has a local maximum, then so does h.

Q: The absolute maximum of the function f(x) = 2x² + 4x + 16 over [1, 6].

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Q: 12. For the function f(x) = x² + 10x + 7, x ER, find any global maxima or minima points

A: If y=f(x), then the independent variable x is called the input of the function and the dependent…

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Q: examine the function for extreme: 1.   f(x)=x+x+2 2.   y=x3+x2+x+5 maxima and minima

A: # the first function seems to have some error. We are entitled to answer one question. Please…

Q: Determine whether the following functions have an absolute maximum or mini- mum. Find those values…

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Q: The function f is defined for all x by, 3 f(x) = x³ 3x – 1 - - - Find all maximum or minimum points.…

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Q: 1 g(x) = /3 — х

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Q: Given the function f(x) = x³ – 3x² – 10, determine the absolute maximum value of ƒ on the closed…

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Q: x+7, -4 h er. f(0) = 7. f(1) = 8, f(2) = -5, and f(3) = -10, of b

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Q: If a and b are positive numbers, find the maximum value of f(x) = x(8 – x)º on the interval 0 < x <…

A: Given: f(x)=xa(8−x)b To find the maximum value find all the critical points. Critical points are…

Q: Consider the function f(x) = 5-3x², -5 ≤ x ≤1 Find the absolute maximum, absolute minimum and where…

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Q: Write the domain in interval notation. 3) y (t)=√√√8-t 4) f(x) = x - 4 x-5

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Q: Evaluate the piecewise-defined function. f(x) = 2 if x < 0 2-X if 0≤x < 2 x + 2 if x ≥ 2 (a) (-²/-)…

A: given,  f(x)=2            if x&lt;02-x     if  0≤x≤2x+2    if x≥2

Q: 1. f(x) = sx (x+1 if x ≤ 0 if x > 0

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