Deetermine, without graphing, ehether the given quaratic function has a maximum value or a minimum value and then find the valur.f(x) = 2x^2-12x

sagnuhh

sagnuhh

Answered question

2021-03-09

Deetermine, without graphing, ehether the given quaratic function has a maximum value or a minimum value and then find the valur. f(x)=2x212x

Answer & Explanation

Leonard Stokes

Leonard Stokes

Skilled2021-03-10Added 98 answers

Obtain the critical points as follows. f(x)=0ddx(2x212x)=0 4x12=0x=124x=3 Thus, the critical point is x=3 f(x)=4>0 at x=3 Therefore, minimum exist at x=3 Substitute x=3 in f(x)=2x212x and obtain that, f(3)=2(3)212(3)=2(9)36=1836=18 Thus, the quadratics function has a minimum value, the value is −18. image

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