Click on point A on the slider and drag it to change the figure. Are all curves concave? Manipulative 1 - Concave Curve Created with GeoGebra.

Concavecurve

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Convexlineexample

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Pro-Tip: Eccentric Spacers comes with a divot on the outside which allows you to know at all times where the smallest part of the CAM hole is located.

The earth is often referred to as a sphere. However, it is not a perfect sphere. If you draw a line between the tops of two mountains, is the line completely contained within the earth? Is the earth concave or convex?

Concave linegraph

A curve is concave up over an interval if it opens upwards over that interval. A line segment drawn from any point to any other point on the interval a curve is concave up will be entirely above the line. A curve is concave down over an interval if it opens downwards. A line segment drawn from any point to any other point on the interval that is concave down will be entirely below the line. The point at which a curve changes from concave up to concave down is called the inflection point.

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A bear wanted a nice cozy cave in which to spend the winter. She found a rock sticking out of the ground, but it vexed her that the rock was convex. She continued to look. Then she found a cave. It was concave, so she crawled in and went to sleep for the winter.

Convexline

A shape is concave if a line can be drawn between any two points in the shape that is not completely contained within the shape. [1]

Figure 1 is an example of a concave shape. Since it is possible to pick two points within the shape and draw a line between them that leaves the shape, the shape is convex.