Exercise 29 Page 258

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.

$x$	$- 2 x^{2}$	$y$	$(x, y)$
$- 2$	$- 2 (- 2)^{2}$	$- 8$	$(- 2, - 8)$
$- 1$	$- 2 (- 1)^{2}$	$- 2$	$(- 1, - 2)$
$0$	$- 2 (0)^{2}$	$0$	$(0, 0)$
$1$	$- 2 (1)^{2}$	$- 2$	$(1, - 2)$
$2$	$- 2 (2)^{2}$	$- 8$	$(2, - 8)$

Let's plot these points on a coordinate plane.

By connecting all of our points with a line, 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 cuadratic function and this type of graph is called a parabola.