Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
4. Graphing a Function Rule
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Exercise 28 Page 258

Substitute some arbitrary values for x to find their corresponding y-values.

Practice makes perfect

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 3x^3 y (x,y)
-2 3( -2)^3 -24 ( -2, -24)
-1 3( -1)^3 -3 ( -1, -3)
0 3( 0)^3 0 ( 0, 0)
1 3( 1)^3 3 ( 1, 3)
2 3( 2)^3 24 ( 2, 24)
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.