Pearson Algebra 1 Common Core, 2011
PA
Pearson Algebra 1 Common Core, 2011 View details
4. Graphing a Function Rule
Continue to next subchapter

Exercise 4 Page 257

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^2+2 y (x,y)
-2 -( -2)^2 + 2 -2 ( -2, -2)
-1 -( -1)^2 + 2 1 ( -1, 1)
0 -( 0)^2 + 2 2 ( 0, 2)
1 -( 1)^2 + 2 1 ( 1, 1)
2 -( 2)^2 + 2 -2 ( 2, -2)
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 quadratic function, and this type of graph is called a parabola.