Determine the absolute extrema of the function f(x) = (x-3)e* on the interval -2 ≤x≤1.

Q: Consider the function f(x) where. 2x²-x +3. if x>2 jf x=2 if x<a f(x) = 4 4-X Is the function…

A: Solution:

Q: 14. Express f(x) = |x as a piecewise function.

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Q: 19. Show that f(x) = x² + 1 is not one-to-one, using values of f (not the horizontal line test).

A: To show: The function fx=x2+1 is not one to one. Concept used: The function is one to one is and…

Q: Show that the function f(x)= √6x-x² is continuous on the closed interval [0, 6].

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Q: On what interval(s) is the function f(x) = x55x4 + 15 both increasing and concave down? (Enter your…

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Q: The revenue (in billions of dollars) generated from a certain item can be approximated by the…

A: The revenue function is given as      g(x) = 5.88 + 8.82ln(x)  , 1 ≤ x ≤ 17.   So, the rate of…

Q: Let f(x) = 8 - x f-¹(x)

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Q: Let f(x) = 8x3 - x4 + 4. 1. Find the interval of concavity.

A: Find the second derivative of f(x) and equate it to zero f(x)=8x3-x4+4 f'(x)=24x2-4x3…

Q: x²x2 x - 3 ax + b -3 < x < 4 x³ + 4x x ≥ 4 Determine the values of the constants a and b that make…

A: The given function is,The function should be continuous so we can write,

Q: Find the absolute extrema of the function on the closed interval. f(x) = x2 + 5x,    [−4, 0]   Ive…

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Q: f(x) = 45.183(0.831x) + 60 thousand farms where x is the number of years since 2000, based on data…

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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