1. Linear Relations and Functions Quiz Review

2.  DOMAIN: The set of x coordinates from a group of ordered pairs  RANGE: The set of y coordinates from a group of ordered pairs  FUNCTION: a type of relation in which each element of the domain is mapped with EXACTLY one element of the range  ONE-TO-ONE FUNCTION: each element of the range is paired with exactly one element of the domain  DISCRETE: a relation in which the domain is a set of individual points.  CONTINUOUS: a relation with an infinite number of elements and can be graphed continuously as a line or smooth graph.  VERTICAL LINE TEST: used to determine if a relation is a function 2.1

3.  Domain: {-4, -3, 0, 1, 3}  Range: {-2, 0, 1, 2, 3}  It is a function (-4,0) (-3,1) (0,-2) (1, 2) (3,3)

4.  Given f(x)= x 3 – 3 ◦ Find f(1) ◦ Find f(-2) ◦ Find f(2y)

5.  Linear Function f(x)=mx + b *Have a highest exponent of 1  Linear Equation y=mx+b *Have a highest exponent of 1 2.2

6.  1. State whether each function is a linear function, explain. ◦ g(x)=2x-5  g(x) is a linear function because the highest exponent in 1 and it is in slope intercept form m=2 and b = -5 ◦ p(x)=x 3 +2  p(x) is not a linear function because x has an exponent > 1 ◦ f(x)= 4+7x  f(x) is a linear function because the highest exponent is 1 and it can be written in slope intercept form with m=7 and b = 4

7.  Graph the equation by the intercepts. ◦ Find the x-int and y-int by substituting the other letter with a zero (write as ordered pairs) -2x + y – 4 = 0

8. 2.3 Slope: Positive slope Negative Slope Zero Slope Undefined Slope  Parallel Lines have the same slope  Perpendicular lines have slopes that are opposite signs and reciprocals

9.  A. (1, -3) (3, 5)  B. A line parallel to x – 3y = 3  C. A line perpendicular to (2, 2) (4, 2)

10.  Slope-Intercept Form: y = mx + b  m is slope and b is the y-intercept  Point-Slope Form:y – y 1 = m (x – x 1 )  m is slope and y 1 and x 1 are any ordered pair on the line Writing Linear Equations 2.4

11.  Passes through (2, -5) parallel to the graph of x = 4  Passes through the origin perpendicular to the graph of y = -x+2  Passes through (-1, 2) and is perpendicular to a line with a slope of -2.

12. A. Through (6, 1) and (8, -4) B. Through (-5, 7) perpendicular to y = ½x + 6

13. A. Be able to draw a scatter plot – don’t forget to label axis. B. Draw a line of fit and describe the correlation of the graph. C. Find and use the prediction equation.

14. A. Graph an inequality. 2x-3y<6