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Algebra 2 Vocab Chapter 2
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Terms in this set (34)
relation
a mapping or pairing of input and output variables
domain
input;x value; independent variable
range
output; y value; dependent variable
function
states that every input has exactly one output (no repeats in X)
function notation
y=mx+b; written as f(x)=mx+b
slope
m of a nonvertical line is the ratio of vertical change (rise) to horizontal change (run) m
parallel
two lines in the same plane that do not intersect; same slope
perpendicular
two lines in the same plane that intersect to form a right angle; negative reciprocal slope
rate of change
slope to represent a change in quantity; decimal
parent function
the most basic function equation in a family of functions
y-intercept
the y-coordinate of the point where the graph intersects the y-axis "b"
x-intercept
the x-coordinate of a point where a graph intersects the x-axis
slope-intercept form
y=mx+b
standard form
Ax + By=C, A and B are nonzero numbers
point slope form
y-y₁=m(x-x₁)
direct variation
y=ax; y varies directly as x
Hint: y-intercept has to be (0,0)
constant of variation
the nonzero constant of a
Hint: a is m
scatter plot
a graph of a set of data pairs (x,y)
positive correlation
if y tends to increase as x increases
negative correlation
if y tends to decrease as x increases
no correlation
no obvious pattern
correlation coefficient
denoted by r, is a number from -1 to 1 that measures how well a line fits a set of data pairs (x,y)
r=-1
points lie near a line with a negative slope
r=0
points do not lie near any line
r=1
points lie near a line with a positive slope
best fitting line
the line that lies as close as possible to all the data points
piecewise function
represented by a combination of equations, each corresponding to a part of the domain
step function
a graph which resembles a set of stair steps; an example of a step function is the greatest integer function; denoted by g(X)=||X||; where for every real number x, g(x) is the greatest integer less than or equal to x
absolute value function
f(x)=|x|
vertex
(h,k) the highest or lowest point on the graph
Transformation
changes a graphs size, shape, position, or orientation
Translation
a transformation that shifts a graph horizontally and/or vertically; does not change shape, size, or orientation
HOY
Horizontal m=0
Cross y axis
VUX
Vertical m=undefined
Cross x axis
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