jennychan12
  • jennychan12
How can you tell just by looking at a graph whether a function is concave up or down?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
The concavity is basically where it "opens up" to. So, for example, f(x) = x^2 is concave up since it opens upwards while g(x) = -x^2 is concave down since it opens downwards.
anonymous
  • anonymous
Draw/imagine the tangent line.
anonymous
  • anonymous
If the tangent line is below it, then it is concave up.

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anonymous
  • anonymous
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anonymous
  • anonymous
imagine you are riding a bike along the curve from left to right if you are leaning left, it is concave up
jennychan12
  • jennychan12
ok, thanks. so if the tangent line is above the graph, it's concave down, right?
jennychan12
  • jennychan12
@satellite73 wow :) that actually made sense, and good analogy! :) so if ur leaning right, it's concave down?
anonymous
  • anonymous
yes
anonymous
  • anonymous
:"concave up" strikes me as devoid of meaning if it is "up" and "down" why bother with the "concave" part
johnweldon1993
  • johnweldon1993
yes..or imagine if you poured water into the line...would the water get collected...or just flow off?
anonymous
  • anonymous
real definition is that any secant line lies entirely above the curve or anyway what you get when you write that in math
anonymous
  • anonymous
|dw:1363921314201:dw|

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