Determine a. if f has a maximum value or a minimum value; b. the value of x at which the maximum or minimum occurs; c. the maximum or minimum value of f:

f(x)=2x^2+3x+2

Question

Determine a. if f has a maximum value or a minimum value; b. the value of x at which the maximum or minimum occurs; c. the maximum or minimum value of f:

f(x)=2x^2+3x+2

myininaya · Answer

since the coefficient of x^2 is postive then the parabola opens upward so U that means we have a minmum

anonymous · Answer

Oh, wow, now that made sense...so the first part is that easy..okay, i'm following thoroughly

myininaya · Answer

f(x)=2(x^2+3x/2)+2
f(x)=2(x^2+3x/2+(3/4)^2)+2-2(3/4)^2
f(x)=2(x+3/4)^2+2-9/8
f(x)=2(x+3/4)^2+7/8
so the max is x=-3/4
the max value is 7/8

anonymous · Answer

wow...that made sense...not too bad actually

myininaya · Answer

lol usually people get confused when I add in a weird zero

anonymous · Answer

I didn't see a weird 0

anonymous · Answer

lol..thanks again

myininaya · Answer

ur wecolme