This short video can give an introduction to graphing and using exponential functions. |
Fun fact about square root functions:
The word quadratic comes from the word 'quad' which means square. Which is why the equation for a square root function is y=x^2. Sometimes you can learn a lot from an old piece of clay. This is a Babylonian clay tablet from around 1700 BC. It’s known as “YBC7289”, since it’s one of many in the Yale Babylonian Collection. It’s a diagram of a square with one side marked as having length 1/2. They took this length, multiplied it by the square root of 2, and got the length of the diagonal. And our question is: what did they really know about the square root of 2? Questions like this are tricky. It’s even hard to be sure the square’s side has length 1/2. Since the Babylonians used base 60, they thought of 1/2 as 30/60. But since they hadn’t invented anything like a “decimal point”, they wrote it as 30. More precisely, they wrote it as this: To learn more about the history of the square root function, click the link below. |
Square Root Functions in the Real WorldThis short video can explain a situation where a square root function would be used in a real life situation about a farmer fencing in cattle.
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Square Root Graph and EquationSquare Root functions resemble half of a parabola (y=x^2) turned on its side. The domain of a square root function would be all values greater that the point where f(x) originates. In the graph above, the domain would be (-2, positive infinity). The range of a square toot function is all y values greater than or less than the point where it originates. In the graph above, the range would be (1, positive infinity).
This video will help show how to graph square root functions. |
Common Core StandardsTo learn about the North Carolina Common Core standards on mathematics, click the link below.
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