Family of Functions Quiz Review - Highpeak



Family of Functions Quiz Review Name:____________________

1. {(-4,3), (4,5),(-4,7),(4,9)}

a. Is this a function?

1a.

b. State the domain.

1b.

c. State the range.

1c.__________________

2. {(-2, 4), (-1, 1), (0, 0), (1, 1), (2, 4)}

a. Is this a function? 2a.__________________

b. State the domain. 2b.__________________

c. State the range. 2c.__________________

3. a. Is this a function? 3a.__________________

b. State the domain. 3b.__________________

c. State the range. 3c.__________________

4. a. Is this a function? 4a.__________________

b. State the domain. 4b.__________________

c. State the range. 4c.__________________

Write an equation for each translation.

5. a. A quadratic flipped, left four, down nine. 5a.__________________

b. A linear right eight, down ten. 5b.__________________

c. An absolute value left two, up five. 5c.__________________

d. A cubic right three and down nine. 5d.__________________

e. A quadratic right 6, down 3. 5e.__________________

Without your calculator, graph each of the following. Explain, in words, the translation of each graph from its parent and name the parent function. Give the domain and range.

6. [pic] 7. [pic] 8. [pic]

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9. [pic] 10. [pic] 11. [pic]

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12. [pic] 13. [pic] 14. [pic]

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15. [pic] 16. [pic] 17. [pic]

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18. [pic] 19. [pic] 20. [pic]

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21. A ball is thrown from an apartment window. Its height, in feet, after t seconds is given by the equation [pic]. Find the time, rounded to the nearest hundredth, when the ball hits the ground. Find the maximum height the ball reaches. Draw a graph complete with labels.

22. Find the zeros and y-intercepts algebraically.

a. [pic] b. [pic] c. [pic]

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23. Describe the end behavior of the function.

a. b.

24. Give the function {(0, 2), (1, 4), (3, -5), (2, 4), (4, 8)}.

a. Give the inverse of the function. ___________________________

b. Is the inverse a function? ___________________________

25. Given the function [pic].

a. What family is this function from?

b. Graph the function.

c. Give the zeros.

d. Identify the type and give the coordinates

of the critical points.

e. Give the y-intercept.

f. Describe the behavior of the function.

g. Graph the inverse of the function.

h. Is the inverse a function?

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