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# Unit 1 B

### Vocabulary Words

Term | Definition |
---|---|

linear function | An equation that makes a straight line when it is graphed |

first definition | represents a linear function of the form y=mx+b |

second difference | represents a quadractic function of the form y=ax*bx+c |

quadratic function | A quadratic function is a second-degree polynomial function of the form , where a, b, and c are real numbers |

exponential function | function whose value is a constant raised to the power of the argument, especially the function where the constant is e. |

common ratio | The common ratio is the ratio between two numbers in a geometric sequence |

rate of change | The speed at which a variable changes over a specific period of time. |

y-intercept | they can have at most one y-intercept. Analogously, an x-intercept is a point where the graph of a function or relation intersects with the x-axis. |

initial value | is an ordinary differential equation together with a specified value, called the initial condition, |

slope | This form of a line's equation is called the slope-intercept form, because b can be interpreted as the y-intercept of the line, that is, the y-coordinate where the line intersects the y-axis. |

slope intercept form | The slope-intercept form is simply the way of writing the equation of a line so that the slope (steepness) and y-intercept (where the line crosses the vertical y-axis) are immediately apparent. Often, this form is called ' y = mx + b' form. |

point slope form | the equation of a straight line in the form y − y1 = m(x − x1) where m is the slope of the line and (x1, y1) are the coordinates of a given point on the line — compare slope-intercept form. |

inequality | difference in size, degree, circumstances, etc.; lack of equality. "social inequality" |

compound inequalities | A compound inequality is a combination of two or more inequalities joined by either an 'and' or an 'or |

absolute value equations | The absolute value of a number may be thought of as its distance from zero. Generalisations of the absolute value for real numbers occur in a wide variety of mathematical settings |

absolute value inequalities | an inequality that has a variable within an absolute value symbol |

properties of equality | The property that states that if you add the same number to both sides of an equation, the sides remain equal |

exponential inequalities | exponential inequalities. An inequality with variables in the exponent is called an Exponential Inequality. |

quadratic inequalities | A quadratic inequality is a function whose degree is 2 and where the y is not always exactly equal to the function |

graphing standard form | The graph of the equation has x-intercept a and y-intercept b. The intercept form is in standard form with A/C = 1/a and B/C = 1/b. |