Name Date Class
Functions
Unit Test: A
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113
Name Date Class
1. What is the range of the relation shown in the table?
x / 3 / 5 / 7 / 9y / 4 / / /
Range – 4,-1,-6,-11
2. What is the correct representation of the interval shown on the number line?
x> - 2 and x< 4
3. Olan earns $25 per week for his allowance, plus $15 for each lawn he mows. He wants to earn at least $100 each week.
a. Write an equation to represent the
situation.
15x + 25 = 100
b. How many lawns must Olan mow to meet his weekly goal?
5
4. Find the inverse and graph
f-1(x) = ½ x – ½
Refer to the figure below for 5–6.
5. Write the domain and range of the function in interval notation and set notation.
D= xI -∞ < x < ∞ (-∞,∞) R=set notation yI-∞ < y < ∞ interval notation (-∞,∞)
6. Describe the end behavior of the function.
As x à ∞ , f(x) à ∞
As x à -∞, f(x) à -∞
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113
Name Date Class
Functions
Unit Test: A
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
113
Name Date Class
Refer to the figure below for 8–12.
8. Identify the intervals where the graph is increasing.
[-3,1], [2, ∞)
9. On which interval is the graph negative?
(-5, -1)
10. Identify the maximum and minimum values. Min. – ( -3, -2) , ( 2,0)
Max ( 1,2)
11. Identify the zeros of the function.
-5, -1, 2
12. graph y= -2Ix – 3I + 2
Find the vertex, describe the transformation, and find domain and range
Vertex- (3,2)
Transformation- IxI will shift 3 units right, 2 units up, stretch by and multiple of 2, and reflect across the x axis
D= (-∞,∞) R= (-∞, 2 ]
The figure below shows a transformation of Refer to the figure for 13–14.
13. What is the function equation represented by the graph?
y= IxI + 2
14. Write the range in set notation.
yI y 2
15.Solve .
X = 3 or X= -3
16. I3x +2I > 12
X< -14/3 or x > 10/3
17. Solve
X = -2 or x = 6
18. Solve
x -11 and x< 1
19.
20.
a. find the line of best fit y = -19.1x + 121.97
b. find the correlation coefficient - .96
c. Describe the correlation Strong Negative
d. how many beats per second would a hummingbird weighing 5.6 grams have? 15.01 beats per sec.
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247
Name Date Class
Answer Key
Unit Tests and Performance Tasks
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248
Name Date Class
UNIT 1 Functions
Unit 1 Test: A
1. C
2. A No B Yes C Yes D No
3. a.
b. C
4.
5. Domain: Range:
6. B
7. A Yes B Yes C No D No
8. A No B Yes C No D Yes
9. B
10. A True B False C True D False
11. C
12.
13.
14.
Unit 1 Test: B
1. {3, 5, 8}
2. A Yes B No C Yes D Yes
3. Domain: ; Range:
4. as as
5. x = -2 and x = 6
6. a.
b. A
7. a.
b. B
8.
9. A No B Yes C No D Yes
10. C
11. A False B True C False D True
12.
13.
14.
15.
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248