4. Graphing a Function Rule
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Substitute some arbitrary values for x to find their corresponding y-values.
One way to graph a function rule is by making a table of values and substituting some arbitrary values for x. Doing so will give the corresponding values of y, which we can use to form (x,y) coordinate pairs.
x | x3−1 | y | (x,y) |
---|---|---|---|
-2 | (-2)3−1 | -9 | (-2,-9) |
-1 | (-1)3−1 | -2 | (-1,-2) |
0 | (0)3−1 | -1 | (0,-1) |
1 | (1)3−1 | 0 | (1,0) |
2 | (2)3−1 | 7 | (2,7) |
Let's plot these points on a coordinate plane.
By connecting all of our points, we form the graph of the function rule. Because there is a variable with an exponent in the function, our line will not be straight. Later, we will learn that this type of function is called a cubic function.