using quadratic functions

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Natqnivf

Mathematics

Description

f(x)=-3x^2+30x-77

1. does this function have a minimum or maximum value

2. where does the minimum or maximum value occur, x=

3. what is the minimum or maximum value

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Explanation & Answer

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f(x) = 3x^2+30x-77 ; f'(x) = 6x+30  =0 hence x = -5    f''(x) = 6
 

1. Yes Function has minimum value

2. at x = -5

3. 3*(-5)^2 +3*(-5) -77 = -152

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