# prog test 2

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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.

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Find the equation of the line given that it is perpendicular to 3x – 2y = –4 and contains point (−2, −1).

1. 2x – 3y = −3
2. 2x – 3y = 1
3. 2x + 3y = −3
4. 2x + 3y = −7

Find the solution of this equation:

1. no solution
2. −3, −8
3. −3
4. −8

What are the vertical asymptotes of f(x) =

1. x = 0, x = 2
2. x = –3, x = 3
3. y = –3, y = 3
4. y = 0, y = 2

.

?

____ 5.

Find the horizontal asymptote of this function, if one exists: .

a. y=0 b.

c.
d. no horizontal asymptote exists

Find the vertex of the parabola y = −(x + 1)2.

1. (0, 0)
2. (−1, 0)
3. (1, 0)
4. (−1, −1)

____ 6.

What is the focus of the parabola x2 – 4y = 0?

1. (0, –1)
2. (–1, 0)
3. (1, 0)
4. (0, 1)

Find the domain of this function: .

1. {x|x≠−5}
2. {x|x≠1}
3. {x|x≠−1}
4. all real numbers

Given the function f(x) = x3 + 2×2 – 5x – 6, use synthetic division to find the value of f (1).

1. 8
2. −8
3. 0
4. 2

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____ 9.
a.

What is the graph of f(x) = ?

____ 10.

b.

c.

d.

Use long division to perform the following division: (x3 + 4) ÷ (x – 2).

a. b. c. d.

x2 + 2x + 4 R −4 x2+2x+4 R12 x2 – 2x – 4 R 4 x2 – 2x – 4 R 12

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Find the solution set of the inequality,

< 0.

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____ 16.

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1. {x|x<–1 or x>4}
2. {x|x<–4 or x>1}
3. {x|–4<x<1}
4. {x|–1<x<4}

Given the function f(x) = x3 + x2 – 4x – 4, use synthetic division to find the value of f (–2).

1. 0
2. –16
3. 8
4. 16

Find the

1. 2x
2. 2x
3. 2x
4. 2x

Find the

equation of each line with a slope of – 2, that contains point (1, 3).

+y–5=0 –y+1=0 +y+1=0 –y–5=0

real roots or zeros of this polynomial function: x4 – 81.

1. 9, −9
2. 3, −3
3. 3,−3,0,9
4. 9,−9,3

What are the x-intercepts of the function f(x) = x3 + 2×2 – 5x – 6?

1. (−3, 0), (−1, 0), (2, 0)
2. (3, 0), (−1, 0), (2, 0)
3. (0, −3), (0, −1), (0, −2)
4. (3, 0), (1, 0), (2, 0)

What is the y-intercept of f(x) = ?

1. (0, –3)
2. (0, 1)
3. (0, 3)
4. no y-intercept

Use the quadratic formula to solve this quadratic equation: 9×2 – 66x + 121 = 0. a.

b.

c. d.