Worksheet Piecewise Functions - Washington-Liberty



Intensified Algebra 2 Name:

Chapter 1-2 Review

Part I. Carefully graph each of the following. Then evaluate the function at the specific value.

1. [pic] 2. [pic]

[pic] [pic]

Domain: Range: Domain: Range:

3. [pic] 4. [pic]

[pic] [pic]

Domain: Range: Domain: Range:

5. [pic] 6. [pic]

[pic] [pic]

Domain: Range: Domain: Range:

Part II. Write equations for the piecewise functions whose graphs are shown below. Assume that the units are 1 for every tic marc.

7. 8.

9. 10.

11. Write the equation of the line that passes through the points (5, -1) and (-2, 4).

12. Write the equation of the line that goes through the point (-6, 1) and is perpendicular to the graph of x – 2y = 8.

13. Find the x and y intercept of 4x = y + 7

14. Evaluate the function f(x) = [pic] and g(x) = [pic]

a. f(-3) b. g(4) c. g(h+1) d. f(x-1)

15. List all sets that -1/3 belongs to.

16. List all the sets that 0 belongs to.

17. Graph

Vertex: _____ Vertex: _____

AOS: ______ AOS: ______

Domain: _______ Domain: _________

Range: ________ Range: __________

18. Write the equation given the graph.

19. [pic] 20. [pic]

21. Solve and graph 22. Solve and graph

[pic] [pic]

23. Simplify [pic] 24. Solve [pic]

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[pic]

[pic]

[pic]

[pic]

[pic]

[pic]

[pic]

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