Which of the two functions below has the largest maximum y-value? f (x) = - 3x^4 - 14g (x) = - x^3 + 2 A. There is not enough information to determine B. g (x) C. f (x) D. The extreme maximum y-value for both f (x) and g (x) is infinity

Question

Mathematics

Woodard

29 January, 13:19

Which of the two functions below has the largest maximum y-value? f (x) = - 3x^4 - 14g (x) = - x^3 + 2 A. There is not enough information to determine B. g (x) C. f (x) D. The extreme maximum y-value for both f (x) and g (x) is infinity

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Ryann Patrick · Answer 1

You can differentiate both equation and find the value of x. First equation Dy/dx=-12x^3 The minimum value can be found by dy/dx=0 So - 12x^3=0 X=0 Substitute this value on the equation and the result is the value wanted F (0) = 0-14 F (0) = - 14

Second equation Dy/dx=-3x^2

Equal 0 - 3x^2=0 X=0

Substitute on the equation G (0) = 0+2 G (0) = 2 G (x) >f (x)