Rational Functions Quiz



Warmup

1. Determine the number of horizontal and vertical asymptotes for [pic]

A 0

B 1

C 2

D 3

2. If y varies jointly as m and p and inversely as the cube root of w. If

y = 12, when m = 3, p = 2, and w = 512, find y when m = 5, p = 2, and

w = 125.

3.

[pic]

4) What are the asymptotes for the function [pic] ?

|[pic] |[pic] |

|[pic] |[pic] |

|[pic] |[pic] |

|[pic] |[pic] |

5) List vertical asymptote, horizontal asymptote and x and y intercept for each given function.

Decide which function matches the graph?

| |VA |HA |X intercept |Y intercept |

|[pic] | | | | |

|[pic] | | | | |

|[pic] | | | | |

|[pic] | | | | |

Classwork Review 8.1-8.3

1. Determine whether x. and y show direct variation, inverse variation, or neither. Write the model relating the variables.

|x |1 |2 |3 |4 |

|y |1 |4 |9 |16 |

|x |2 |5 |8 |15 |

|y |60 |24 |15 |8 |

2. z directly proportional to the x and inversely proportional to the square of y ___________________

3. If x and y vary directly and x = 3 when y = 12.

• Write the model relating the variables: ________________

• When x= -5, y= _________

4. If x and y vary inversely and x = 2 when y = 18

• Write the model relating the variables: ________________

• When x= -3, y= _________

5. Explain what is rational expression: ___________________________________________________

6. How do you find x-intercept? ________________________________________________________

7. How do you find y-intercept? _______________________________________________________

8. How do you find domain of rational functions? __________________________________________

9. How do you find range of rational functions? ____________________________________________

Graph the following function. Show ordered pairs in a table, and fill in the information about asymptotes, intercepts, domain, and range.

|10. [pic] |

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|x-intercept(s):__________________ y-intercept:__________ |

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|Vertical Asymptote(s):__________________ Horizontal Asymptote:___________ |

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|Domain:_____________________________ Range:________________________ |

Graph the following functions. Show ordered pairs in a table, and fill in the information about asymptotes, intercepts, domain, and range.

|11. [pic] |

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|x-intercept(s):__________________ |

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|y-intercept:____________________ |

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|Vertical Asymptote(s):__________________ Horizontal Asymptote:___________ |

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|Domain:_____________________________ Range:________________________ |

|12. [pic] |

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|x-intercept(s):__________________ |

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|y-intercept:____________________ |

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|Vertical Asymptote(s):__________________ Horizontal Asymptote:___________ |

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|Domain:_____________________________ Range:________________________ |

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