Answer:
Step-by-step explanation:
Note that the squaring function and the square root function are inverses of one another. If we make a list of perfect squares, we get {1, 4, 9, 16, 25, ...}. Then the square roots of these numbers are {1, 2, 3, 4, 5, ... }.
Continue making a table of values to plot. The first row has x=0, y=0; this reflects that the sqrt of 0 is 0.
Fill the first (x-) column with perfect squares and the second (y-) column with the square roots of these perfect squares:
x y
0 0
1 1
4 2
9 3
and so on.
Now plot the following on the graph: (1,1), (4,2), (9,3), ....
Starting at (0,0) and moving to the right (indicating increases in x), plot these points. (You'll soon run out of room.) Draw a smooth curve from (0,0) to connect these points. The result is a graph of the square root function.
The domain of this function is "the set of all real numbers ≥0" and the range is the same: "the set of all real numbers ≥0"
that is orthogonal to the first two.
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