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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|y |
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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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