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# Algebra A Ch 6

### Stepp's Algebra A Glencoe Chapter 6 Functions and Graphs

question | answer |
---|---|

An inverse variation is described by an equation of the form xy=__ | k |

k is called the ___ | constant of variation |

A direct variation is a linear function that can be written in the form __ | y = kx, |

the graph of a direct variation function passes through the___ | origin |

If each vertical line passes through no more than one point of the graph of a relation, then the relation is a function. This is called the ___ | vertical line test |

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

In function notation, f(x) is read __ | f of x |

How would you write “the value of the function f, when x is three? ___ | f (3) |

Which can not be repeated if the relation is a function – the domain or the range? ___ | domain |

How would you find f(7)? ___ | substitute 7 for x in the equation for the function f |

If a vertical line touches the graph of an equation more than once then ____ | it is not a function |

When both variables behave the same way (both increase or both decrease) it is ___ variation | direct |

When the variables have opposite behavior (one goes up as the other goes down), it is ___ variation | inverse |

A __ is a set of ordered pairs | relation |

Linear relations have graphs that form ____ | straight lines |

If an equation has a variable with a power greater than one, it is ___ | not linear |

If an equation has a variable in the denominator, it is ___ | not linear |

If an equation has variables multiplied or divided by each other, it is __ | not linear |

A linear equation can be written in the form ___ | Ax + By = C |

To graph a linear equation, make a ___ of ordered pairs that are solutions. | table (t-chart) |

Write the equation y = 2x+ 8 in the standard form Ax + By= C, first __ | subtract 2x from both sides |

When an equation is in standard form, what is left on the left side of the equals sign? | x and y |

An equation in two variables has solutions that are ___ in the form (x, y). | ordered pairs |

The easiest form of an equation to use for graphing is found by ___ | solving for y |

The set of all ___ values is called the domain. | x |

The set of all ___ values is called the range. | y |

The (domain/range) values are the outputs. | range |

The (domain/range) values are the inputs. | domain |

If you get a true statement when an ordered pair is substituted into an equation, then the pair is a ___. | solution |

Which of the ordered pair (3, 5) or (-1, 1) is a solution of y = 2x - 1? | (3,5) |

The domain of (-2,3),(0,4),(1,5) is ____ | -2,0,1 |

The second coordinate in an ordered pair is called the ___ | y-coordinate |

Functions never have more than one___ for any ___ | output, input |

Functions can have more than one ___ for a(n) ___ | input, output |

If it is a function, __ values can't be repeated | x |

Inverse also means ____ | opposite |

x is used for the ___ variable | independent |

y is used for the ___ variable | dependent |

f(x) is the same thing as ___ | y |

For an equation in standard form, "B" is the ___ | y coefficient (number in front of y) |

To find the range when you already have the domain ____ | substitute each x value into the equation |

Created by:
criswell216