Fundamentals of Math - old

Fundamentals of Mathematics

This same method can be applied to any equation; you just have to know the generalized shape. For instance,

• quadratic equations (the largest term is to the second power) forms a "U" like shape • cubic equations (the largest term is to the third power) creates a sideways "S" like shape • quartic equations (the largest term is to the fourth power) forms a "W" like shape

Quadratic ( 2 )

Cubic ( 3 )

Quartic ( 4 )

Linear ( )

You can use the table method to graph any equation.

Example 4.2.2

Graph: 2 − 6 + 7

(0) 2 − 6(0) + 7 =

0

7

(1) 2 − 6(1) + 7 =

1

2

(2) 2 − 6(2) + 7 =

2

−1

(3) 2 − 6(3) + 7 =

3

−2

(4) 2 − 6(4) + 7 =

4

−1

(5) 2 − 6(5) + 7 =

5

2

(6) 2 − 6(6) + 7 =

6

7

©2019 Achieve Page 63 of 127