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Graphing Radical Functions: More Examples (page 3 of 3)
This graph is just what it looks like: the top half of a circle. As a matter of fact, it's the top half of the circle centered at the origin and having radius r = 4. The negative of this square-root function would give you the bottom half of the same circle.
Here's an example of a cube-root function:
There are no domain constraints with a cube root, because you can graph the cube root of a negative number. So you don't have to find the domain; the domain is "all x". (Note: Since you can take the fifth root, seventh root, ninth root, etc., of negative numbers, there are no domain considerations for any odd-index radical function. You only have to find the domain whenever you are dealing with even-index radical functions: a square root, a fourth root, a sixth root, etc.)
Warning: Radicals graph as curved lines. Don't succumb to the temptation of trying to put a straight line through these points. Instead, use enough plot-points to clearly show the shape of the graph, and then draw the graph complete with its curves:
For radical graphs, it is well worth taking the time to find lots of plot-points for your T-chart. Then draw very neat axes and scales, and draw your line carefully. Don't just slap these graphs together, because if you do, you'll probably get many of them wrong. << Previous Top | 1 | 2 | 3 | Return to Index
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