Chapter 2

By: Brian G. Ernesto R.Alex R.Erick R.

Chapter 2 consists of linear functions. This chapter includes identifying the domain and range. This chapter also includes writing equations in standard form, finding the slope of a line, writing equations, finding the x and y-intercepts, finding the line of best fit, graphing a parent function, and writing and graphing inequalities.

Linear Relation - A relation that can be graphed as a line.

Non-Linear Relation - A relation that cannot be graphed as a line.

Linear Equation – An equation that contains positive, negative, a variable, and a constant.

Slope-Intercept Form – In the form of y=mx+b

Standard Form – In the form of ax+by=c

Y-Intercept – Where the line intersects the Y-Axis.

X-Intercept – Where the line intersects the X-Axis.

Slope – A change in Y over a change in X.

Domain – A set of the X-Coordinates.

Range – A set of the Y-Coordinates.

Discrete Relation – Graphed as a set of individual points.

Continuous Relation – Graphed with a small curve.

Independent Variable – The variable whose values make up the domain.

Dependent Variable – The variable whose values make up the range.

Transformation – Shift to the graph.

Linear Function – A diagonal line. Constant – A vertical or horizontal line.

Absolute Value Function – Graphed as a “V.” Quadratic Function - Parabola

Vocabulary

Standard Form: ax + by = c

Slope-Intercept Form: y = mx + b

Note-Card

Examples!!!!!!

1.Identify a domain and range (using a graphing calc): y= x^2 -6x+ 4

2.Write an equation given two points: ( 4,6) and (2, 1)

3.Write an equation given a slope and point: Slope: -1/3 through (-6,1)

4.Find x – and y – intercepts: -6x+3y= 24

5.Find a slope given 2 points: (3,-5) and (-1,7)

6. Write an equation in standard form: y=2/3x-8

More examples!!

1.2. (1-4)/ (2-6)= -3/-4= ¾, (y-6)=3/4(x-4), y-

6=3/4x-3, y=3/4x+33. y-1= = -1/3(x- -6), y-1=-1/3x+2, y=-1/3x+34. -6x+0=24, x= -4, 0x+3y=24, y=85.(7+5)/(-1-3), 12/-4, -36. (3)y= 2/3x-8(3), 3y=2x-24, -2x+3y=-24

Solutions