# 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.*

____ 1.

____ 2.

____ 3.

____ 4.

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

- 2x – 3y = −3
- 2x – 3y = 1
- 2x + 3y = −3
- 2x + 3y = −7

Find the solution of this equation:

- no solution
- −3, −8
- −3
- −8

What are the vertical asymptotes of *f*(x) =

- x = 0, x = 2
- x = –3, x = 3
- y = –3, y = 3
- 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.

- (0, 0)
- (−1, 0)
- (1, 0)
- (−1, −1)

____ 6.

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

- (0, –1)
- (–1, 0)
- (1, 0)
- (0, 1)

Find the domain of this function: .

- {x|x≠−5}
- {x|x≠1}
- {x|x≠−1}
- all real numbers

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

- 8
- −8
- 0
- 2

____ 7.

____ 8.

____ 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 *R*12 x2 – 2x – 4 *R *4 x2 – 2x – 4 *R *12

____ 11.

Find the solution set of the inequality,

< 0.

____ 12.

____ 13.

____ 14.

____ 15.

____ 16.

____ 17.

- {x|x<–1 or x>4}
- {x|x<–4 or x>1}
- {x|–4<x<1}
- {x|–1<x<4}

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

- 0
- –16
- 8
- 16

Find the

- 2x
- 2x
- 2x
- 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.

- 9, −9
- 3, −3
- 3,−3,0,9
- 9,−9,3

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

- (−3, 0), (−1, 0), (2, 0)
- (3, 0), (−1, 0), (2, 0)
- (0, −3), (0, −1), (0, −2)
- (3, 0), (1, 0), (2, 0)

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

- (0, –3)
- (0, 1)
- (0, 3)
- no y-intercept

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

b.

c. d.

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