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How can you tell just by looking at a graph whether a function is concave up or down?
 one year ago
 one year ago
How can you tell just by looking at a graph whether a function is concave up or down?
 one year ago
 one year ago

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Twis7edBest ResponseYou've already chosen the best response.0
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.
 one year ago

wioBest ResponseYou've already chosen the best response.0
Draw/imagine the tangent line.
 one year ago

wioBest ResponseYou've already chosen the best response.0
If the tangent line is below it, then it is concave up.
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
imagine you are riding a bike along the curve from left to right if you are leaning left, it is concave up
 one year ago

jennychan12Best ResponseYou've already chosen the best response.0
ok, thanks. so if the tangent line is above the graph, it's concave down, right?
 one year ago

jennychan12Best ResponseYou've already chosen the best response.0
@satellite73 wow :) that actually made sense, and good analogy! :) so if ur leaning right, it's concave down?
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
:"concave up" strikes me as devoid of meaning if it is "up" and "down" why bother with the "concave" part
 one year ago

johnweldon1993Best ResponseYou've already chosen the best response.0
yes..or imagine if you poured water into the line...would the water get collected...or just flow off?
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
real definition is that any secant line lies entirely above the curve or anyway what you get when you write that in math
 one year ago
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