Relation | any set of ordered pairs |
Domain | the set of all first coordinates in the ordered pairs of a relation |
Range | the set of all the second coordinates of a function |
Function | A relation that assigns exactly one value in the range to each domain |
Vertical line test | a method used to determine if a relation is a function or not. If a vertical line passes though a graph more than once, the graph isn't a function. |
Function rule | an equation that describes a function |
Function notation | to write a rule in this notation, you use the symbol f(x) in place of y |
Independent variable | a variable that provides the input values of a function |
Dependent variable | a variable that provides the output values of a function |
Direct variation | a linear function that can be expressed in the form y = kx where k ≠ 0. |
Constant of variation | the nonzero constant k in the function y = kx |
Inductive reasoning | making conclusions based on observed patterns |
Conjecture | conclusion reached by inductive reasoning |
Sequence | a number pattern |
Term | a number, variable, or the product or quotient of a number and one or more variables |
Arithmetic sequence | a number sequence formed by adding a fixed number to each previous term |
Common difference | the fixed number used to find terms in a geometric sequence |
Rate of change | The relationship between two quantities that are changing. AKA slope. |
Slope | the ratio of vertical change to the horizontal change |
Linear equation | an equation whose graphs forms a straight line |
y-intercept | the y-coordinate of the point where a line crosses the y-axis |
Slope intercept form | a linear equation of a nonvertical line written as y = mx + b where m is slope and b is the y-intercept |
Standard form of a linear equation | the form of a linear equation Ax + By = C, where A and B are both not zero. |
Point slope form | a linear equation of a nonvertical line written as y - y1 = m(x - x1). The line passes through the point (x1, y1) with slope m |
Parallel lines | two lines in the same plane that never intersect and have the same slope |
Perpendicular lines | lines that intersect to form right angles, you can tell if they are this if their product of their slopes = -1 |
Negative reciprocal | a number in the form of-b/a, where a/b is a nonzero rational number. The product of a number and this word is -1 |
Line of best fit | the most accurate trend line of a scatter plot showing the relationship between two sets of data |
Correlation coefficient | a number that tells how closely the equation of best fit models the data. The value r of the correlation -1≤ r ≤ 1 |