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AFM Practice Quarter Test
Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
1. Use the domain and range of each of the following relations to determine which is a function.
a.
b.
c.
d.
{ 7,,9, -4, 1}
{(7, 9). ( -4, 1), ( -4, 7), (1, -4)}
{(7, 9), (9, 7), (1,1)}
{(7, 9), (9, - 4), (7, 1)}
2. Determine the domain of the function h(x) =
a. {x|x ≠ ± 7}
c. {x| x ≠ ± 49, x ≠ 0}
3. Evaluate
9x
x( x  49)
2
b. {x| x ≠ ± 7, x ≠ 0}
d. {x| x ≠ ± 7}
if
a.
b.
c.
d.
4. Let f(x) = 25 – x2, g(x) = 5 – x. Find
a. - x2 + x + 20
c. x3 - 5x2 – 25x + 125
5. Given f(x) = x2 – 3 and g(x) =
b. 5 + x
d. - x2 – x + 30
x2
. Find (g ◦ f)(-4).
x
a. 11
13
c. 305
4
b. 249
4
d.
23
−
16
6. Determine the first five iterates of the function: f(x) = 1.3x(1 – x) for x0 = 0.4.
a. 0.4, 0.712, 0.667, 0.689, 0.679
c. 0.312, 0.279, 0.262, 0.251, 0.244
b. 0.4, 0.312, 0.279, 0.262, 0.251
d. 0.712, 0.667, 0.689, 0.679, 0.683
7. Find all real zeros of the function: y = 2x + 6
a. -1/3
c. - 3
b. 3
d. -2, -6
8. Find an equation in slope-intercept form of the line that has slope 1 and passes through point
A(5, 2).
a. y = - x – 3
c y=x+3
b. y = - x + 3
d. y = x – 3
9. Determine the standard form of the equation of the line that passes through (-8, -3) and (-2,4).
a. 6x + 7y = 38
c. 7x + 6y = -38
b. 6x – 7y = -38
d. 7x – 6y = -38
10. Determine whether the graphs of y = -3x - 12 and y = (1/3)x + 4 are parallel, perpendicular,
coincident, or none of these.
a. parallel
c. coincident
b. perpendicular
d. none of these
11. Which of the following lines is not parallel to the graph of y = - 5x – 4 ?
a. 5x – y = - 6
c. - 10x – 2y = - 6
b. - 5x – y = - 6
d. y + 5x = - 1
12. Find an equation of the line perpendicular to the graph of 6x – 3y = - 6 that passes through the
point at (0, 4).
a.
c.
y = (1/2)x + 4
y = -(1/2)x - 4
b. y = 2x + 4
d. y = -(1/2)x + 4
13. Solve the system of equations algebraically.
3x – 2y = 5
-12x + 8y = -20
a. many solutions
c (-1, 4)
b. (-1, -4)
d. no solution
14. Solve the system of equations.
–2x + 2y – z = 20
–2x + 2y + 7z = 68
–2x – 6y + 2z = -10
a. x = –6, y = 7, z = 7
c. x = –6, y = 5, z = 4
b. x = –8, y = 5, z = 7
d. x = –7, y = 6, z = 6
 19  3  18
15. Find the value of.
7
1
4 .
12 2 11
a. 6
c. - 6
b. 22
d. - 36
 2
16. Find the inverse of the matrix, 
 3
5
if it exists.
 2 
a.  2
  11

3

 11
c.  2
 11

 5
 11
b.   2
 5

5 
11 

2 
11 

3 
11 

2

11
3 
2 
d.
17. Solve the system by using a matrix equation.
2x – 3y = 2
7x – 5y = 7
a. (2,1)
c. ( -1, -1)
b. (1,0)
d. ( -4, 3
Which statement best describes a method that can be used to sketch the graph.
18. y = |x - 1|
a.
b.
c.
d.
Translate the graph of y = |x| one unit up.
Translate the graph of y = |x| one unit down.
Translate the graph of y = |x| one unit left.
Translate the graph of y = |x| one unit right.
19. y = |x|  2
a.
b.
c.
d.
Translate the graph of y = |x| two units down.
Translate the graph of y = |x| two units up.
Translate the graph of y = |x| two units left.
Translate the graph of y = |x| two units right.
21. Given
find
Then state whether
is a function.
a.
is not a function.
b.
is not a function.
c.
is a function.
d.
is a function.
Without graphing, describe the end behavior of the graph of the function.
22. f(x) = x3 + 2x2 – 3x – 10.
a. As x f (x) 
As x f (x) 
b. As x f (x) 
As x f (x) 
As x f (x) 
As x f (x) 
d. As x f (x) 
As x f (x) 
a. As x f (x) 
As x f (x) 
b As x f (x) 
As x f (x) 
c. As x f (x) 
As x f (x) 
d. As x f (x) 
As x f (x) 
24.
a. As x h(x) 
As x h(x) 
b. As x h(x) 
As x h(x) 
c. As x h(x) 
As x h(x) 
d. As x h(x) 
As x h(x) 
c
23.
25.
a. As x f (x) 
As x f (x) 
b. As x f (x) 
As x f (x) 
c. As x f (x) 
As x f (x) 
d. As x f (x) 
As x f (x) 
26. Which statement is true for the graph of f(x) = 2x3 + 6x2 - 18x + 6 ?
a.
b.
c.
d.
( -3, 60) is a relative minimum; ( 1, -4) is a relative maximum
( -3, 48) is a relative minimum; ( 1, 2) is a relative maximum
( 1, 2) is a relative minimum; (-3, 48) is a relative maximum
( 1, -4) is a relative minimum; ( -3, 60) is a relative maximum
27. Find the vertical, horizontal, and slant asymptotes, if any, for f(x) =
a. vertical: x = 4, x = 1
slant : y = 2x - 5
b. horizontal: y = 0
slant : y = 2x + 5
c. vertical: x = - 4, x = -1
slant: y = 2x + 5
d. vertical: x = - 4, x = 1
horizontal: y = 0
28. Determine the equation whose roots are 5, 1, and -2.
a. x3 – 6x2 + 17x + 10 = 0
c. x3 + 4x2 + 7x – 10 = 0
b. x3 – 2x2 + 13x + 10 = 0
d. x3 – 4x2 – 7x + 10 = 0
29. Solve 3x2 + 14x = 5 by completing the square.
a.
c
1/3, -5
-1/3, 5
b.
d.
1/3, 5
- 1/3, -5
30. Solve: x/7 + x/6 = 4.
a.
13
168
c. 15
158
b. 168
13
d. 158
15
31. Solve: -3x – 4(x + 5) = -3x + 7
a.
c.
-3
- 27/4
b - 4/27
d. - 13/4
32. Solve: 3x + 2y = 0
y=-x+1
a.
( - 2, 3)
c. ( - 1, 2)
b.
9
)
2
d. no solution
( 3, -
2 x 3  15 x 2  34 x  22
x 2  5x  4
.