GRAPHING RADICAL FUNCTIONS



Graph the following radical functions:

|x |y |

|0 | |

|1 | |

|4 | |

|9 | |

|x |y |

|0 | |

|1 | |

|4 | |

|9 | |

|x |y |

|-8 | |

|-1 | |

|0 | |

|1 | |

|8 | |

|x |y |

|-8 | |

|-1 | |

|0 | |

|1 | |

|8 | |

|x |y |

|-8 | |

|-1 | |

|0 | |

|1 | |

|8 | |

y = [pic] y = [pic] y = [pic] y = [pic]

GRAPHS OF RADICAL FUNCTIONS

To graph [pic] or [pic], follow these steps

Step 1:

Step 2:

Example #1: Comparing Two graphs.

a) Describe how to obtain the graph of y = [pic] from the graph of y = [pic].

b) Describe how to obtain the graph of y = [pic] from the graph of y = [pic].

Example #2: Graphing a Square Root Function. State the Domain and Range.

a) Graph y = [pic] b) Graph y = [pic]

Example #3: Graphing a Cube Root Function. State the Domain and Range.

a) Graph y = [pic] b) Graph y = [pic]

Comparing Two graphs.

1. Describe how to obtain the graph of y = [pic] from the graph of y = [pic].

2. Describe how to obtain the graph of y = [pic] from the graph of y = [pic].

3. Describe how to obtain the graph of y = [pic] from the graph of y = [pic].

4. Describe how to obtain the graph of y = [pic] from the graph of y = [pic].

Graph the Square Root Function. State the Domain and Range.

5. Graph y = [pic] 6. Graph y = [pic]

7. Graph y = [pic] 8. Graph y = [pic]

Graph the Cube Root Function. State the Domain and Range.

9. Graph y = [pic] 10. Graph y = [pic]

11. Graph y = [pic] 12. Graph y = [pic]

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y

y

y

y

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