All the questions are on the attached document ____ 1.____ 2.____ 3.
____ 4.
____ 5.
What is the degree of this polynomial function? x + 2×3 + 4.
a. 0
b. 1
c. 2
d. 3
Find the real roots or zeros of this polynomial function: (x3 – x2)(x + 4).

0, −1, −4

0,1,4

0,1,−4

1, −4

Determine the direction of the graph: 2x = 5.

increasing

decreasing

horizontal

vertical

Find the x-intercepts of the function f(x) = x3 + 3×2 – x – 3.

(–1,0),(1,0),(3,0)

(–1,0),(1,0),(–3,0)

(–3,0),(1,0),(3,0)

(–3,0),(–1,0),(3,0)

Find the equation of the circle with the given information: C(−5, 1), r = 2.
a.
b.
c.
d.
(x–5)2 +(y+1)2 =4
(x–5)2 +(y+1)2 =2
(x+5)2 +(y–1)2 =4
(x+5)2 +(y–1)2 =2
____ 6.
Find the equation of the line given that it is perpendicular to x – 2y = 5 and contains point (0, 0)

2x–y=0

2x+y=0

x–2y=0

x+2y=0

Find the solution of this quadratic equation by factoring: x2 – 64 = 0.

x=4,16

x=8,−8

x=8

x=1,64

Write the equation of an ellipse with center (0, 0) , vertices (3, 0) and (–3, 0) , and foci (2, 0) and (–2, 0).
a.
b.
c.
d.
Find the slope of the line passing through this pair of points: (0, −2), (4, 0).

2

−2

c.
d.
Whatisthesolutionsetto(x+3)(x–2)(2x+1)≥0?
____ 7.
____ 8.
____ 9.
____ 10.
a.
b.
c.
d.
{ x | x ≤ −3 or ≤ x ≤ 2 }
{x|x≤−3or− ≤x≤2}
{ x | −3 ≤ x ≤ or x ≥ 2 }
{x|−3≤x≤− orx≥2}
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Course Name: Precalculus: Analytic Geometry and
Algebra
Student: Aguistin Spaan
Course ID:
MTHH043059
ID: G87557040
Submittal:
52
Progress Test 2
Progress Test 2 (Evaluation 52) covers the course materials that were assigned in Units 3 and 4. Although the progress
test is similar in style to the unit evaluations, the progress test is a closed-book, proctored test. You may not have
access to notes or any of the course materials while you are taking the test. You may use your graphing
calculator on this test.
____ 1.
What is the degree of this polynomial function? x + 2×3 + 4.
a.
b.
c.
d.
____ 2.
Find the real roots or zeros of this polynomial function: (x3 – x2)(x + 4).
a.
b.
c.
d.
____ 3.
increasing
decreasing
horizontal
vertical
Find the x-intercepts of the function f(x) = x3 + 3×2 – x – 3.
a.
b.
c.
d.
____ 5.
0, −1, −4
0, 1, 4
0, 1, −4
1, −4
Determine the direction of the graph: 2x = 5.
a.
b.
c.
d.
____ 4.
0
1
2
3
(–1, 0) , (1, 0) , (3, 0)
(–1, 0) , (1, 0) , (–3, 0)
(–3, 0) , (1, 0) , (3, 0)
(–3, 0) , (–1, 0) , (3, 0)
Find the equation of the circle with the given information: C(−5, 1), r = 2.
a.
(x – 5)2 + (y + 1)2 = 4
b.
(x – 5)2 + (y + 1)2 = 2
c.
(x + 5)2 + (y – 1)2 = 4
d.
(x + 5)2 + (y – 1)2 = 2
____ 6.
Find the equation of the line given that it is perpendicular to x – 2y = 5 and contains point (0, 0)
a.
b.
c.
d.
____ 7.
Find the solution of this quadratic equation by factoring: x2 – 64 = 0.
a.
b.
c.
d.
____ 8.
2x – y = 0
2x + y = 0
x – 2y = 0
x + 2y = 0
x = 4, 16
x = 8, −8
x=8
x = 1, 64
Write the equation of an ellipse with center (0, 0) , vertices (3, 0) and (–3, 0) , and foci (2, 0) and (–2, 0).
a.
b.
c.
d.
____ 9.
Find the slope of the line passing through this pair of points: (0, −2), (4, 0).
a.
b.
c.
2
−2
d.
____ 10. What is the solution set to (x + 3)(x – 2)(2x + 1) ≥ 0?
a.
{ x | x ≤ −3 or
b.
{ x | x ≤ −3 or −
c.
{ x | −3 ≤ x ≤
d.
{ x | −3 ≤ x ≤ −
≤x≤2}
≤x≤2}
or x ≥ 2 }
or x ≥ 2 }
____ 11. What is the graph of f(x) =
?
a.
b.
c.
d.
____ 12. Find the vertex of the parabola y = –3(x + 1)2 + 2.
a.
b.
c.
d.
(1, 2)
(−1, 2)
(−3, −6)
(−1, −3)
____ 13. What are the real roots of the function f(x) = x3 + 2×2 – 5x – 6?
a.
b.
c.
d.
3, −1, 2
−3, −1, 2
−3, −1, −2
3, 1, 2
____ 14.
What are the vertical asymptotes of f(x) =
a.
b.
c.
d.
?
x = 0, x = 2
x = –3, x = 3
y = –3, y = 3
y = 0, y = 2
____ 15. Find the possible rational zeros of the given polynomial function: f(x) = x3 – 8×2 + 12x – 5.
a.
b.
c.
d.
1, 5
±1, ±5
±1, ±2, ±4, ±8
5
____ 16. Find the solution of this equation:
a.
b.
2
c.
d.
4
.
____ 17. What are the major axis vertices of the ellipse with the equation 16×2 + 25y2 = 400?
a.
b.
c.
d.
(4, 0) and (–4, 0)
(0, 4) and (0, –4)
(5, 0) and (–5, 0)
(0, 5) and (0, –5)
____ 18. Given the function f(x) = x3 + x2 – 4x – 4, use synthetic division to find the value of f (–2).
a.
b.
c.
d.
0
–16
8
16
____ 19. Find the real zeros of the following polynomial function: f(x) = 3×3 – 7×2 + 8x – 2.
a.
b.
c.
d.
3, −3, 0
, 2, 0
____ 20.
What are the foci of the hyperbola with the equation
a.
(4, 5 +
b.
(–4, 5 +
c.
(5 +
d.
(4,
), (4, 5 –
)
), (–4, 5 –
, 4), (5 –
), (4, –
)
, 4)
)
____ 21. What is the graph of f(x) = x2 – x – 6?
a.
b.
c.
d.
____ 22. What is/are the y-intercept(s) of f(x) =
a.
b.
c.
d.
(0, –2) and (0, 2)
(0, 0)
(0, 2)
(0, 0) and (0, 2)
?
?
____ 23. Given the function f(x) = x3 + 2×2 – 5x – 6, use synthetic division to find the value of f (1).
a.
b.
c.
d.
8
−8
0
2
____ 24. Find the solution set of the inequality x2 – x – 6 < 0 . a. b. c. d. ____ 25. {x|–3 3 } {x|–2 2 } What is/are the x-intercept(s) of f(x) = a. b. c. d. ? (0, 0) (3, 0) (0, −3) and (0, 3) no x-intercept ____ 26. Find the center and radius of this circle: x2 + y2 – 12x – 64 = 0. a. b. c. d. C(6, 6), r = 100 C(0, 6), r = 10 C(6, 0), r = 10 C(6, 0) r = 100 ____ 27. What is the extreme point of f(x) = x2 + x – 2? a. is a maximum b. is a maximum c. is a minimum d. ____ 28. is a minimum Find the domain of this function: a. b. c. d. . all real numbers {x|x≠2} {x|x≠0} { x | x ≠ −2 } ____ 29. What is the y-intercept of f(x) = x2 + x – 2? a. b. c. d. (0, 2) (0, –2) (2, 0) (–2, 0) ____ 30. Find the vertical asymptote of this function: a. b. x = −1 c. d. x=1 . x = −6, x = −1, −6, ____ 31. Find the equation of each line with a slope of – 2, that contains point (1, 3). a. b. c. d. 2x + y – 5 = 0 2x – y + 1 = 0 2x + y + 1 = 0 2x – y – 5 = 0 ____ 32. Describe the line and the shading of the inequality y < 3x + 2. a. b. c. d. dotted line, shading above the line dotted line, shading below the line solid line, shading above the line solid line, shading below the line ____ 33. Find the slope of the line: 2x = 5. a. b. c. d. 0 2 5 undefined ____ 34. Find the intercepts of the following linear function: x + 2y = 3. a. b. c. d. (2, 0) and (3, 0) (3, 0) and (0, 3) and (−3, 0) and ____ 35. Find the y-intercept of the function f(x) = x3 + 3x2 – x – 3. a. b. c. d. (0, 1) (0, 3) (0, –3) (0, –1) ____ 36. Find the horizontal asymptote of this function, if one exists: a. b. c. d. ____ 37. y=3 y=0 x=3 no horizontal asymptote exists What is the horizontal asymptote of f(x) = a. b. c. d. . ? y=0 x=0 x=2 y=2 ____ 38. Which of the following equations is a linear function? a. b. 2x – 3y – 8 = 0 c. y+7= d. x 2 = 16 2x – 4y 2 = 7 ____ 39. Use the cut-point method to find the solution set of the following inequality: (x + 2)(x – 2)(3x – 1) ≤ 0. What are the cut points? a. b. 2, – 2, 3 c. 2, – 2, d. 2, – 2, – 3 2, – 2, ____ 40. What is the correct graph of the function > 0?
a.
b.
c.
d.
____ 41. What are the x-intercepts of f(x) = −x2 – 3x + 4?
a.
b.
c.
d.
(1, 0) and (– 4, 0)
(– 1, 0) and (4, 0)
(0, – 1) and (0, 4)
(0, 1) and (0, – 4)
____ 42. Which of the following equations is a quadratic function?
a.
y = 3×2 – 2x + 5
b.
y = 6×3 – 3×2 + 4x + 2
c.
d.
y=
+ 2x – 7
y = 4x – 8
____ 43. Use synthetic division to perform the following division: (x2 – 5) ÷ (x – 3).
a.
b.
c.
d.
x + 3 R −4
x+3
x–3R4
x+3R4
____ 44. What is the graph of the function f(x) = x3 + x2 – 4x – 4?
a.
b.
c.
d.
.
____ 45. Find the solution set of the inequality,
a.
b.
c.
d.
> 0.
{ x | x < 0 or x > 1 }
{ x | x < – 1 or x > 0 }
{x|0
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