With the function that you entered of tan(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 = tan(x)

this is a

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

2π | tan([2π]) | -2.4492935982947E-16 | (2π, -2.4492935982947E-16) |

11π/6 | tan([11π/6]) | -0.57735026918963 | (11π/6, -0.57735026918963) |

7i/4 | tan([7i/4]) | -1 | (7i/4, -1) |

5π/3 | tan([5π/3]) | -1.7320508075689 | (5π/3, -1.7320508075689) |

3π/2 | tan([3π/2]) | 5.4437464510651E+15 | (3π/2, 5.4437464510651E+15) |

4π/3 | tan([4π/3]) | 1.7320508075689 | (4π/3, 1.7320508075689) |

5π/4 | tan([5π/4]) | 1 | (5π/4, 1) |

7π/6 | tan([7π/6]) | 0.57735026918963 | (7π/6, 0.57735026918963) |

π | tan([π]) | -1.2246467991474E-16 | (π, -1.2246467991474E-16) |

5π/6 | tan([5π/6]) | -0.57735026918963 | (5π/6, -0.57735026918963) |

3π/4 | tan([3π/4]) | -1 | (3π/4, -1) |

2π/3 | tan([2π/3]) | -1.7320508075689 | (2π/3, -1.7320508075689) |

π/2 | tan([π/2]) | 1.6331239353195E+16 | (π/2, 1.6331239353195E+16) |

π/3 | tan([π/3]) | 1.7320508075689 | (π/3, 1.7320508075689) |

π/4 | tan([π/4]) | 1 | (π/4, 1) |

π/6 | tan([π/6]) | 0.57735026918963 | (π/6, 0.57735026918963) |

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 (-∞, ∞) or All Real Number

(2π, -2.4492935982947E-16)

(11π/6, -0.57735026918963)

(7i/4, -1)

(5π/3, -1.7320508075689)

(3π/2, 5.4437464510651E+15)

(4π/3, 1.7320508075689)

(5π/4, 1)

(7π/6, 0.57735026918963)

(π, -1.2246467991474E-16)

(5π/6, -0.57735026918963)

(3π/4, -1)

(2π/3, -1.7320508075689)

(π/2, 1.6331239353195E+16)

(π/3, 1.7320508075689)

(π/4, 1)

(π/6, 0.57735026918963)

(11π/6, -0.57735026918963)

(7i/4, -1)

(5π/3, -1.7320508075689)

(3π/2, 5.4437464510651E+15)

(4π/3, 1.7320508075689)

(5π/4, 1)

(7π/6, 0.57735026918963)

(π, -1.2246467991474E-16)

(5π/6, -0.57735026918963)

(3π/4, -1)

(2π/3, -1.7320508075689)

(π/2, 1.6331239353195E+16)

(π/3, 1.7320508075689)

(π/4, 1)

(π/6, 0.57735026918963)

(2π, -2.4492935982947E-16)

(11π/6, -0.57735026918963)

(7i/4, -1)

(5π/3, -1.7320508075689)

(3π/2, 5.4437464510651E+15)

(4π/3, 1.7320508075689)

(5π/4, 1)

(7π/6, 0.57735026918963)

(π, -1.2246467991474E-16)

(5π/6, -0.57735026918963)

(3π/4, -1)

(2π/3, -1.7320508075689)

(π/2, 1.6331239353195E+16)

(π/3, 1.7320508075689)

(π/4, 1)

(π/6, 0.57735026918963)

(11π/6, -0.57735026918963)

(7i/4, -1)

(5π/3, -1.7320508075689)

(3π/2, 5.4437464510651E+15)

(4π/3, 1.7320508075689)

(5π/4, 1)

(7π/6, 0.57735026918963)

(π, -1.2246467991474E-16)

(5π/6, -0.57735026918963)

(3π/4, -1)

(2π/3, -1.7320508075689)

(π/2, 1.6331239353195E+16)

(π/3, 1.7320508075689)

(π/4, 1)

(π/6, 0.57735026918963)

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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