110
September Math 919, 2009
Test 1
All Sections including SL Center
Do not write on this exam.
y
The graph of y = f (x) is given:
1
3
2
1
1
1
2
x
3
2
Choose the graph for each of the following functions. An answer may be used more than once.
1. y = f (|x|)
2. y = f (x)
5. y = f (x + 1)
6. y = f (x) +
3. y = 2f (2x)
1
2
4. y = |f (x)|
7. y = 2f ( x )
2
8. y = f (x)
y
1
A.
3
2
2
x
3
2
1
2
x
3
2
1
1
2
3
2
x
3
3
2
x
3
3
2
x
3
1
2
x
3
1
2
x
3
y
y
1
H.
2
1
1
1
2
y
1
x
3
1
F.
2
2
y
1
1
2
1
1
1
1
1
y
1
G.
2
D.
1
1
2
3
2
1
E.
3
2
y
1
1
2
3
1
1
C.
1
B.
1
1
2
3
y
2
1
1
2
For problems 9-12 choose the equation that yields the given graph.
y
A. y = 2(x + 1)2
B. y = (x + 1)2 + 1
C. y = (x + 1)2 1
D. y = (x 1)2 + 1
E. y = (x 1)2 1
2
9.
1
1
1
1
2
x
3
x
A. y = 2 x
x
B. y = + 2
C. y = 2 x
D. y = 3 2 x
2
E. y = 2 x
x
A. y = |x + 1| + 1
B. y = |x 1| + 1
C. y = |x + 1| 1
D. y = |x 1| 1
E. y = |x 2| + 1
y
2
10.
1
2
1
1
1
2
3
y
2
11.
1
3
2
1
1
1
2
y
12.
2
1
1
1
2
3
4
1
x
A. = y 1 3x
B. y = 3(x 1)
C. y = 2x 1
D. y = 3x 1
1
E. y = 3 x 1
Answer the following questions for the quadratic function f (x) = 2x2 12x + 17 whose graph
is a parabola.
13. The graph of the function opens: A. Up B. Down
14. What is the vertex of the parabola?
A. (3, 1)
B. (3, 1)
C. (3, 1)
D. (3, 1)
E. (1, 2)
15. What is the equation of the axis of symmetry for the function?
A. x = 3
B. x = 3
C. x = 1
D. x = 1
E. x = 2
D. 2
E. 17
D. 3
E. 4
16. What is the y -intercept of the function?
A. 2
B. 12
C. 17
17. How many x-intercepts does the function have?
A. None
B. 1
C. 2
18. What is the domain of the function?
A. {x|x 1}
B. {x|x 1}
C. {x|x 3}
D. {x|x 3}
E. All real numbers
19. What is the range of the function?
A. {y |y 1}
B. {y |y 1}
C. {y |y 1}
D. {y |y 1}
E. All real numbers
20. What is the largest interval on which the function is increasing?
A. (, 3)
B. (3, )
C. (, 3)
D. (3, )
1. B
2. E
3. F
4. A
5. D
6. C
7. G
8. H
9. E
10. B
11. D
12. D
13. A
14. C
15. A
16. C
17. C
18. E
19. A
20. D