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# Algebra 2 Vocab

Question | Answer |
---|---|

a ratio that compares how much one quantity changes, compared to the change in another quantity | rate of change slope of a line |

two or more equations with the same variables the solution is the ordered pair that works for all of the equations | system of equations |

a relation in which each element of the domain is paired with exactly one element in the range | function |

all the input values of a relation often x-values or independent variable | domain |

all the output values of a relation often y-values or dependent variable | range |

a relation in which the domain consists of individual elements graph is unconnected points | discreet function |

function in which the domain has an infinite number of elements relation graphed with a line or smooth curve | continuous function |

function in which no variable is raised to any power except 1 can be written in slope-intercept form graph is always a straight line | linear function |

function that is not linear | nonlinear function |

type of symmetry applicable if you can draw a line that divides the graph into two reflected halves | line symmetry |

type of symmetry applicable if the graph can be rotated 180 degrees and look the same | point symmetry rotational symmetry |

the behavior of a graph as x approaches positive or negative infinity | end behavior |

where the graph crosses the x-axis the y value is zero | "zeros" of a graph |

any high or low points on the graph includes turning points | extrema |

the highest point on the graph | absolute maximum |

the lowest point on the graph | absolute minimum |

a turning point that is higher than the other points around it | relative maximum |

a turning point that is lower than the other points around it | relative minimum |

a piecewise-linear function that contains an algebraic expression within absolute value symbols | absolute value function |

the simplest function for a family of functions | parent function |

when a graph is slid, reflected, or stretched or compressed | transformation |

when a graph is slid left, right, up, or down | translation |

when a graph is flipped over the x or y axis | reflection |

when a graph is stretched or compressed | dilation |

a function that has the greatest exponent of two | quadratic function |

the shape of a graph for a quadratic functio | parabola |

the line of symmetry for a parabola always goes through the vertex | axis of symmetry |

a number, variable, or expression that is the product of one or more variables with whole number exponents | monomial |

to rewrite an equation without parentheses or negative exponents combine like terms & reduce fractions | to simplify |

the highest power of a polynomial | degree |

multiple monomials added and/or subtracted examples include linear & quadratic functions | polynomial |

when a polynomial is written with the values of the exponents in order from greatest to least | standard form |

the coefficient of the first term when polynomial is in standard form | leading coefficient |

a polynomial that cannot be factored | prime polynomial |

plugging one function into another function | composition |

a function that has a constant as the base and a variable as the exponent | exponential function |

the inverse of an exponential function | logarithm |

a ratio of two polynomial expressions | rational function |

the shape of a graph of a reciprocal function | hyperbola |

a vertical line that the graph approaches but never touches | vertical asymptote |

when one quantity varies directly as another quantity varies | direct variation |

when one quantity varies directly as the product of two or more quantities | joint variation |

when one quantity varies inversely as another quantity varies | inverse variation |

when one quantity varies directly an/or inversely as two or more quantities | combined variation |

the study of relationships among the angles and sides of a right triangle | trigonometry |

the angle formed by a horizontal line and the line of sight when looking up | angle of elevation |

angle formed by a horizontal line and the light of sight when looking down | angle of depression |

when the vertex of an angle is on the origin and one ray is on the positive x-axis | standard position |

ray that is on the x-axis | initial side |

two angles that have the same terminal side in standard position always a difference of 360 degrees | coterminal angles |

an angle whos terminal side lands on the x or y axis | quadrantal angle |