Exercise 31 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	- x^3	y	(x,y)
-2	-( -2)^3	8	( -2, 8)
-1	-( -1)^3	1	( -1, 1)
0	-( 0)^3	0	( 0, 0)
1	-( 1)^3	-1	( 1, -1)
2	-( 2)^3	-8	( 2, -8)

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.

Subchapter links

Lesson Check p.257

Practice and Problem-Solving Exercises p.257-259

Standardized Test Prep p.259

Mixed Review p.259

Exercise 31 Page 258

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