Linear Relations and FunctionsQuiz Review

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

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)

Given f(x)= x3 – 3

◦ Find f(1)

◦ Find f(-2)

◦ Find f(2y)

Linear Functionf(x)=mx + b

*Have a highest exponent of 1

Linear Equationy=mx+b

*Have a highest exponent of 1

2.2

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)=x3+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

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

12

12

xx

yym

2.3

Positive slope Negative Slope Zero Slope Undefined Slope

Parallel Lines have the same slope Perpendicular lines have slopes that are

opposite signs and reciprocals

A. (1, -3) (3, 5)

B. A line parallel to x – 3y = 3

C. A line perpendicular to (2, 2) (4, 2)

Slope-Intercept Form: y = mx + b m is slope and b is the y-intercept

Point-Slope Form: y – y1 = m (x – x1) m is slope and y1 and x1 are any ordered pair on the

line

2.4

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.

A. Through (6, 1) and (8, -4)

B. Through (-5, 7) perpendicular to y = ½x + 6

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.

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