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A function where each element of the range is paired with exactly one element of the domain.
Each element of the range corresponds to an element of the domain.
A relation that can be graphed with a line or smooth curve.
A relation in which the domain is a set of individual points.
VERTICAL LINE TEST
A line is a function is it passes the
A linear equation written in the form Ax+By=C, where A, B, and C are integers whose greatest common factor is 1, A ≥ 0, and A and B are not both zero.
2 lines that never cross/intersect and stay the same distance apart
two lines that intersect and form a right angle are
family of graphs
A group of graphs that displays one or more similar characteristics.
the point where the line crosses the y-axis
the point where the line crosses the x-axis
Absolute Value Function
any f(x) = | x |
Data with two variables.
If σ₁ and σ₂ are the variances of Y₁ and Y₂, the correlation coefficient is:
The other variable in a function, usually y, whose values depend on x.
a transformation that changes the size of an object, but not the shape
If gummy bears cost $3.50 per pound, how much will 6 pounds cost? How much would a half a pound cost?
greatest integer function
A step function written as f(x)= [x], where f(x) is the greatest integer less than or equal to x.
the tested varaible
A polynomial equation of the first degree whose graph is a line.
y = mx + b
contains a single variable on either side of the inequality symbol.
line of fit
A line that closely approximates a set of data.
y tends to decrease, as x increases
the most basic function of a family of functions, or the original function before a transformation is applied
A function that is written using two or more expressions.
Given a point (x₁, y₁) and slope m
y tends to increase, as x increases
An equation suggested by the points of a scatter plot that is used to predict other points.
a function that can be written in the form f(x)=ax^2+bx+c, where a, b & c are real numbers and a is not equal to zero
Rate of change
A value that results from dividing the change in a function (y-values) of a variable by the change in the variable (x-values). It is another name for slope.
It is a transformation that flips a figure over a line of reflection.
predicts the value for the response variable y as a straight line function of the value x of the explanatory variable
is a graph used to determine whether there is a relationship between paired data. Scatter plots can show trends in data.
a linear equation written in the form y = mx + b, where m represents slope and b represents the y-intercept
A function whose graph is a series of line segments.
It is a transformation that moves points the distance and in the same direction.