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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