Chapter two (Alg 2) Flashcards
Relation
a mapping, or pairing of input values with output values
Domain, Range
Set of input values, set of output values
Function
A relation where each input has exactly one output
Vertical Line Test
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
Equation in two variables
An a equation with two variables, that also allows for an ordered pair to be a solution
Independent Variable
Input variable
Dependent variable
Output variable
Linear Function
Y = mx + b where m and b are constants
Function Notation
Naming a function, giving a name to a function
Slope (of a non vertical line)
Ratio of the lines vertical change, or rise to its horizontal change
{}
y sub 2 - y sub 1
m = -----------------------
x sub 2 - x sub 1Classifying lines by slope
Positive Slope, line rises left to right, m>0; Negative slope, line falls left to right, m
Y-intercept
the y-coordinate of a point where a graph intersects the y-axis
Slope Intercept form
y = mx + b
X-intercept
x-coordinate of a point where a graph intersects the
x-axis
Slopes of Parallel and Perpendicular lines
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
Point slope form
Given the slope and a point, y - y sub 1 = m(x - x sub 1)
Direct Variation
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
Scatter Plots
a graph of a set of data pairs, (x,y).
Positive correlation
as x increases, y tends to increase
Negative Correlation
as x increases, y tends to decrease
Relatively no correlation
No obvious pattern between x and y
Best fitting line
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.
