Fan and Medal. Calculus help!

Question

arianna1453 · Answer

Need help with this

photon336 · Answer

f is definitely continuous because it's differentiable on that interval. 

If I remember correctly U means union of that set. 
hmm

I took the derivative and set to zero to find the maximum then plugged the value back into the equation that's to find the maximum.

$$\frac{ dY }{ dX } = 0 $$

$$ \frac{ dY }{ dX } = -2x$$

$$-2x = 0, x= 0 $$

$$f(0) = 0^{2}+4 = 4 $$ 


minimum value for the equation: 



$$f(4) = -(4)^{2}+4 = -12 $$

photon336 · Answer

@satellite73 help?

arianna1453 · Answer

Thats what i got. Just checking to make sure i was right.!

arianna1453 · Answer

Could you explain this to me? @Photon336

arianna1453 · Answer

@TrojanPoem @FortyTheRapper  anyone?

fortytherapper · Answer

The function given was a parabola with no denominator, so it is continuous
Plugging in -2 and 2 gives you the same answer, so that's good

So it can be applied.

The derivative of the function is 2x, right?

So we would set it equal to 0 to find all values where 2x = 0 

After that, simply x=c