Turning points of a cubic function and how to solve for them mathematically?

Question

lukecrayonz · Answer

Function: (x+5)^3+7

lukecrayonz · Answer

I know the turning point is at (-5,7) but not sure how to solve for that w/o calculus or just looking at a graph

skullpatrol · Answer

What do you mean by "turning point"?

lukecrayonz · Answer

Im guessing it means inflection point but |dw:1385019389413:dw|

skullpatrol · Answer

So to the left of the point the values are less, and to the right they are greater?

ranga · Answer

Inflection points are when the curve turns from concave down to concave up or from concave up to concave down.

ranga · Answer

(x+5)^3+7 changes its curvature from concave down to concave up at (-5, 7).

skullpatrol · Answer

Plot a few points around (-5, 7) for  y=(x+5)^3+7 and see what it looks like...

anonymous · Answer

I agree with @skullpatrol I dont know how you would prove without using calculus

lukecrayonz · Answer

That's what I thought, I mean local maximum and minima but I dont think that's taught before calculus