Chapter two (Alg 2)

Question 1

Relation

Answer 1

a mapping, or pairing of input values with output values

Question 2

Domain, Range

Answer 2

Set of input values, set of output values

Question 3

Function

Answer 3

A relation where each input has exactly one output

Question 4

Vertical Line Test

Answer 4

A test to determine if a graph is a function, if the imaginary line intersects more than one point of the graph, it is not a function

Question 5

Equation in two variables

Answer 5

An a equation with two variables, that also allows for an ordered pair to be a solution

Question 6

Independent Variable

Answer 6

Input variable

Question 7

Dependent variable

Answer 7

Output variable

Question 8

Linear Function

Answer 8

Y = mx + b where m and b are constants

Question 9

Function Notation

Answer 9

Naming a function, giving a name to a function

Question 10

Slope (of a non vertical line)

Answer 10

Ratio of the lines vertical change, or rise to its horizontal change
{}
       y sub 2 - y sub 1   
m =  -----------------------
       x sub 2 - x sub 1

Question 11

Classifying lines by slope

Answer 11

Positive Slope, line rises left to right, m>0; Negative slope, line falls left to right, m

Question 12

Y-intercept

Answer 12

the y-coordinate of a point where a graph intersects the y-axis

Question 13

Slope Intercept form

Answer 13

y = mx + b

Question 14

X-intercept

Answer 14

x-coordinate of a point where a graph intersects the

x-axis

Question 15

Slopes of Parallel and Perpendicular lines

Answer 15

Lines are parallel if and only if they have the same slope
{}
Lines are perpendicular if and only if their slopes are negative reciprocals of each other

Question 16

Point slope form

Answer 16

Given the slope and a point, y - y sub 1 = m(x - x sub 1)

Question 17

Direct Variation

Answer 17

y = kx where k is a non-zero constant called the Constant of variation. //just imagine a slope of two constantly changing 2 per 1

Question 18

Scatter Plots

Answer 18

a graph of a set of data pairs, (x,y).

Question 19

Positive correlation

Answer 19

as x increases, y tends to increase

Question 20

Negative Correlation

Answer 20

as x increases, y tends to decrease

Question 21

Relatively no correlation

Answer 21

No obvious pattern between x and y

Question 22

Best fitting line

Answer 22

Draw a line that has the same amount of lines above and below, choose two points that appear to lie on the line, then write an equation.