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jennychan12
 2 years ago
How can you tell just by looking at a graph whether a function is concave up or down?
jennychan12
 2 years ago
How can you tell just by looking at a graph whether a function is concave up or down?

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Twis7ed
 2 years ago
Best ResponseYou've already chosen the best response.0The 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.

wio
 2 years ago
Best ResponseYou've already chosen the best response.0Draw/imagine the tangent line.

wio
 2 years ago
Best ResponseYou've already chosen the best response.0If the tangent line is below it, then it is concave up.

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1imagine you are riding a bike along the curve from left to right if you are leaning left, it is concave up

jennychan12
 2 years ago
Best ResponseYou've already chosen the best response.0ok, thanks. so if the tangent line is above the graph, it's concave down, right?

jennychan12
 2 years ago
Best 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?

satellite73
 2 years ago
Best 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

johnweldon1993
 2 years ago
Best ResponseYou've already chosen the best response.0yes..or imagine if you poured water into the line...would the water get collected...or just flow off?

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1real definition is that any secant line lies entirely above the curve or anyway what you get when you write that in math
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