With the function that you entered of w, plot points, determine the intercepts, domain, range

Since you did not specify a qualifying variable or function notation in your expression, we will assume y

y = w

Since we have a variable with no exponents, this is a

Since this is a linear function, it is a direct variation equation: the constant of proportionality is

w | Plug in x | ƒ(w) = w | Ordered Pair |
---|---|---|---|

-10 | (-10) | -10 | (-10, -10) |

-9 | (-9) | -9 | (-9, -9) |

-8 | (-8) | -8 | (-8, -8) |

-7 | (-7) | -7 | (-7, -7) |

-6 | (-6) | -6 | (-6, -6) |

-5 | (-5) | -5 | (-5, -5) |

-4 | (-4) | -4 | (-4, -4) |

-3 | (-3) | -3 | (-3, -3) |

-2 | (-2) | -2 | (-2, -2) |

-1 | (-1) | -1 | (-1, -1) |

0 | (0) | 0 | (0, 0) |

1 | (1) | 1 | (1, 1) |

2 | (2) | 2 | (2, 2) |

3 | (3) | 3 | (3, 3) |

4 | (4) | 4 | (4, 4) |

5 | (5) | 5 | (5, 5) |

6 | (6) | 6 | (6, 6) |

7 | (7) | 7 | (7, 7) |

8 | (8) | 8 | (8, 8) |

9 | (9) | 9 | (9, 9) |

10 | (10) | 10 | (10, 10) |

The y-intercept is found when w is set to 0. From the grid above, our y-intercept is 0

The w-intercept is found when y is set to 0

The y-intercept is found when y is set to 0. From the grid above, our x-intercept is 0

The domain represents all values of w that you can enter

The domain is (-∞, ∞) or All Real Numbers

The range is all the possible values of y or ƒ(w) that can exist

The range is (-∞, ∞) or All Real Numbers