TEST 1 (1.1 – 1.3) Review Sheet
Period _____ Name _______________________
Write the interval in interval notation.
1. The real numbers greater than 8
2. 6 < x < 12
3. x > 4
4. all real numbers
5. all real numbers except 3
6.
Write the set of numbers in set-builder notation.
7. (-2, 13]
8. [-64, -12)
9. (-∞, 11]
10. (-∞, 5] or [8, ∞)
11. The set of all real numbers except 100
12. The set of all real numbers less than or equal to 5.
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Algebra 2
Assessment Book
13. Graph the absolute value parent function. Identify the domain and range using interval notation
and set builder notation.
Domain:
Range:
Identify the parent function and then describe the transformation. It if is a vertical or horizontal
stretch/shrink transformation, state the factor.
14. f (X) = -4|x|
Parent Function: ___________________
Transformations: _________________________________________________________
15. f(x) = 2(x – 5)2
Parent Function: ___________________
Transformations: _________________________________________________________
16. f(x) = – |x + 3| – 6
Parent Function: __________________
Transformations: _________________________________________________________
17. f(x) = |-3x|
Parent Function: ___________________
Transformations: _________________________________________________________
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Algebra 2
Assessment Book
14
Write a function g whose graph represents the indicated transformation of the graph of f.
18. f(x) = |x| – 5
translate 3 units right
19. f(x) = -8|x + 3|
vertical shrink by a factor of ½
20. f(x) = |3x|
reflect in the x axis
21. f(x) = |x| – 4
reflect in the y axis
22. Let f(x) = |x|.
a. Reflect in the x axis.
b. Then, vertically stretch by a factor of ½
c. Then, translate 3 units up
d. Finally, translate 5 units left
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Algebra 2
Assessment Book