Chapter 11 Vocabulary

Chapter 11 Vocabulary Function- a rule that assigns to each number in a given set a number in another set Input 0 1 2 3 4 5 6 Output

0.0

0.2

0.4

0.6

Input-a number on which a function operates Input 0 1 2 3

0.8 4

1 5

1.2 6

Output-a number produced by evaluating a function using a given input Output 0.0 0.2 0.4 0.6 0.8 1 1.2 Linear equation in two variables- an equation in which the variables appear in separate terms, and each variable only occurs to the first power ex. Y=2x+1 C= d A=1.06P X intercept- the point when the line on the graph crosses the x axis

X intercept is 3

Y intercept- the point when the line on the graph crosses the y axis

Y intercept=-2

Slope-the ratio between the rise over run 10 Slope=10/7 7

Slope intercept form- y=mx + B Ex. Y=3x+7 Direct variation- a linear equation of the form: y=kx when k is a non zero number Ex. Y=3X X=1 Y=3 Constant of variation- the number k Linear inequality in two variables- an inequality that can be written: ax + by < c, ax + by ≤ c, ax + by >c, ax + by ≥ c

Half-planes- either of the two regions in which a plane is divided by a line Y >x-2

=

Y=x-2

(0,0) 0>0-2

YES!

System of equations- a set of two or more equations in the same variables Y=3x+3 Y=2x+4

System of inequalities- a set of two or more inequalities in the same variables X+Y<6 Y<2X

Solution of a system of linear equations-an ordered pair(x,y) that is a solution of each equation in the system Y=x+1 Y=x-2

Solution of a system of linear inequalities- an ordered pair(x,y) that is a solution of each inequality in the system

Y=3x+3 Y=2x+4