With the function that you entered of cost, 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 = cost

Since we have one of the standard trigonometric functions, this is a

t | Plug in x | ƒ(t) = cost | Ordered Pair |
---|---|---|---|

2π | cos[2π] | 1 | (2pi, 1) |

11π/6 | cos[11π/6] | 0.44 | (11pi/6, 0.44) |

7i/4 | cos[7i/4] | 0.55 | (7i/4, 0.55) |

5π/3 | cos[5π/3] | 0.5 | (5pi/3, 0.5) |

3π/2 | cos[3π/2] | -E-16 | (3pi/2, -E-16) |

4π/3 | cos[4π/3] | -0.5 | (4pi/3, -0.5) |

5π/4 | cos[5π/4] | -0.55 | (5pi/4, -0.55) |

7π/6 | cos[7π/6] | -0.44 | (7pi/6, -0.44) |

π | cos[π] | -1 | (pi, -1) |

5π/6 | cos[5π/6] | -0.44 | (5pi/6, -0.44) |

3π/4 | cos[3π/4] | -0.55 | (3pi/4, -0.55) |

2π/3 | cos[2π/3] | -0.5 | (2pi/3, -0.5) |

π/2 | cos[π/2] | 6.8E-17 | (pi/2, 6.8E-17) |

π/3 | cos[π/3] | 0.5 | (pi/3, 0.5) |

π/4 | cos[π/4] | 0.55 | (pi/4, 0.55) |

π/6 | cos[π/6] | 0.44 | (pi/6, 0.44) |

The y-intercept is found when t is set to 0. From the grid above, our y-intercept is 0.44

The t-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 t that you can enter

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

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

The range is [-1, 1]