With the function that you entered of cos(x), 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 = cos(x)

this is a

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

2π | cos([2π]) | 1 | (2π, 1) |

11π/6 | cos([11π/6]) | 0.86602540378444 | (11π/6, 0.86602540378444) |

7i/4 | cos([7i/4]) | 0.70710678118655 | (7i/4, 0.70710678118655) |

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

3π/2 | cos([3π/2]) | -1.836970198721E-16 | (3π/2, -1.836970198721E-16) |

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

5π/4 | cos([5π/4]) | -0.70710678118655 | (5π/4, -0.70710678118655) |

7π/6 | cos([7π/6]) | -0.86602540378444 | (7π/6, -0.86602540378444) |

π | cos([π]) | -1 | (π, -1) |

5π/6 | cos([5π/6]) | -0.86602540378444 | (5π/6, -0.86602540378444) |

3π/4 | cos([3π/4]) | -0.70710678118655 | (3π/4, -0.70710678118655) |

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

π/2 | cos([π/2]) | 6.1232339957368E-17 | (π/2, 6.1232339957368E-17) |

π/3 | cos([π/3]) | 0.5 | (π/3, 0.5) |

π/4 | cos([π/4]) | 0.70710678118655 | (π/4, 0.70710678118655) |

π/6 | cos([π/6]) | 0.86602540378444 | (π/6, 0.86602540378444) |

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

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

The range is [-1, 1]

(2π, 1)

(11π/6, 0.86602540378444)

(7i/4, 0.70710678118655)

(5π/3, 0.5)

(3π/2, -1.836970198721E-16)

(4π/3, -0.5)

(5π/4, -0.70710678118655)

(7π/6, -0.86602540378444)

(π, -1)

(5π/6, -0.86602540378444)

(3π/4, -0.70710678118655)

(2π/3, -0.5)

(π/2, 6.1232339957368E-17)

(π/3, 0.5)

(π/4, 0.70710678118655)

(π/6, 0.86602540378444)

(11π/6, 0.86602540378444)

(7i/4, 0.70710678118655)

(5π/3, 0.5)

(3π/2, -1.836970198721E-16)

(4π/3, -0.5)

(5π/4, -0.70710678118655)

(7π/6, -0.86602540378444)

(π, -1)

(5π/6, -0.86602540378444)

(3π/4, -0.70710678118655)

(2π/3, -0.5)

(π/2, 6.1232339957368E-17)

(π/3, 0.5)

(π/4, 0.70710678118655)

(π/6, 0.86602540378444)

(2π, 1)

(11π/6, 0.86602540378444)

(7i/4, 0.70710678118655)

(5π/3, 0.5)

(3π/2, -1.836970198721E-16)

(4π/3, -0.5)

(5π/4, -0.70710678118655)

(7π/6, -0.86602540378444)

(π, -1)

(5π/6, -0.86602540378444)

(3π/4, -0.70710678118655)

(2π/3, -0.5)

(π/2, 6.1232339957368E-17)

(π/3, 0.5)

(π/4, 0.70710678118655)

(π/6, 0.86602540378444)

(11π/6, 0.86602540378444)

(7i/4, 0.70710678118655)

(5π/3, 0.5)

(3π/2, -1.836970198721E-16)

(4π/3, -0.5)

(5π/4, -0.70710678118655)

(7π/6, -0.86602540378444)

(π, -1)

(5π/6, -0.86602540378444)

(3π/4, -0.70710678118655)

(2π/3, -0.5)

(π/2, 6.1232339957368E-17)

(π/3, 0.5)

(π/4, 0.70710678118655)

(π/6, 0.86602540378444)

Takes various functions (exponential, logarithmic, signum (sign), polynomial, linear with constant of proportionality, constant, absolute value), and classifies them, builds ordered pairs, and finds the y-intercept and x-intercept and domain and range if they exist.

This calculator has 1 input.

This calculator has 1 input.

- The y-intercept is found when x is set to 0
- The x-intercept is found when y is set to 0
- The domain represents all values of x that you can enter
- The range is all the possible values of y or ƒ(x) that can exist

For more math formulas, check out our Formula Dossier

- domain
- Set of all possible input values which makes the output value of a function valid
- function
- relation between a set of inputs and permissible outputs

ƒ(x) - ordered pair
- A pair of numbers signifying the location of a point

(x, y) - range
- Difference between the largest and smallest values in a number set

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