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

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

anonymous · Answer

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)