Estion 1(Multiple Choice Worth 5 points)
Find a cubic function with the given zeros.

6, -5, 2

f(x) = x3 - 3x2 + 28x + 60
f(x) = x3 - 3x2 - 28x - 60
f(x) = x3 + 3x2 - 28x + 60
f(x) = x3 - 3x2 - 28x + 60
Question 2(Multiple Choice Worth 5 points)
Convert the radian measure to degree measure. Use the value of π found on a calculator, and round answers to two decimal places.

pi divided by five

36°
36π°
pi divided by five degrees
0.628°
Question 3(Multiple Choice Worth 5 points)
Find the exact value of the composition.

sin (arctan (2))

two square root five divided by five
five square root two
two square root five
five square root two divided by two
Question 4 (Yes/No Worth 5 points)
Use the Factor Theorem to determine whether the first polynomial is a factor of the second polynomial.

x - 2; 4x2 - 3x + 22

Yes
No
Question 5(Multiple Choice Worth 5 points)
Find the period of the function.

y = -3 cos one divided by fourx

pi divided by four
-3
three pi divided by four
8π
Question 6(Multiple Choice Worth 5 points)
Find the exact value of the real number y.

y = arcsec (1)

-π
pi divided by two
0
π
Question 7(Multiple Choice Worth 5 points)
The Cool Company determines that the supply function for its basic air conditioning unit is S(p) = 30 + 0.006p3 and that its demand function is D(p) = 150 - 0.12p2, where p is the price. Determine the price for which the supply equals the demand.

$22.86
$22.36
$21.36
$21.86
Question 8(Multiple Choice Worth 5 points)
For the given function, find the vertical and horizontal asymptote(s) (if there are any).

f(x) = the quantity x squared plus four x minus three divided by the quantity x minus six

y = 0
None
x = -6, y = 0
x = 6
Question 9(Multiple Choice Worth 5 points)
Use the Rational Zeros Theorem to write a list of all potential rational zeros.

f(x) = x3 - 10x2 + 9x - 24

±1, ±2, ±3, ±4, ±6, ±12, ±24
±1, ±2, ±3, ±4, ±24
±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24
Question 10(Multiple Choice Worth 5 points)
Find the zeros of the function.

f(x) = 9x3 + 36x2 + 27x

0, -3, and -1
3 and 1
0, 3, and 1
-3 and -1
Question 11(Multiple Choice Worth 5 points)
Find f(x) and g(x) so that the function can be described as y = f(g(x)).

y = three divided by square root of quantity three x plus four.

f(x) = three divided by square root of x, g(x) = 3x + 4
f(x) = square root of quantity three x plus four., g(x) = 3
f(x) = three divided by x., g(x) = 3x + 4
f(x) = 3, g(x) = square root of quantity three x plus four
Question 12(Multiple Choice Worth 5 points)
Find the remainder when f(x) is divided by (x - k).

f(x) = 3x4 + 11x3 + 2x2 - 7x + 61; k = 3

1,308
598
1,606
-112
Question 13(Multiple Choice Worth 5 points)
Find all solutions in the interval [0, 2π).

sec2 x - 2 = tan2 x

No solution
x = pi divided by three
x = pi divided by six
x = pi divided by four
Question 14(Multiple Choice Worth 5 points)
Using the given zero, find all other zeros of f(x).

-2i is a zero of f(x) = x4 - 32x2 - 144

2i, 12, -12
2i, 6i, -6i
2i, 6, -6
2i, 12i, -12i
Question 15 (Yes/No Worth 5 points)
Use synthetic division to determine whether the number k is an upper or lower bound (as specified for the real zeros of the function f).

k = 4; f(x) = 4x4 - 3x3 - 2x2 - 5x - 4; Upper bound?

Yes
No
Question 16(Multiple Choice Worth 5 points)
Describe how the graph of y = x2 can be transformed to the graph of the given equation.

y = (x - 2)2 - 15

Shift the graph of y = x2 left 2 units and then down 15 units.
Shift the graph of y = x2 down 2 units and then left 15 units.
Shift the graph of y = x2 right 2 units and then down 15 units.
Shift the graph of y = x2 right 2 units and then up 15 units.
Question 17(Multiple Choice Worth 5 points)
Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.

5, -3, and -1 + 2i

f(x) = x4 - 4x3 + 10x2 + 20x + 75
f(x) = x4 - 14x2 - 40x - 75
f(x) = x4 - 4x3 - 10x2 - 20x - 75
f(x) = x4 + 10x2 - 40x - 75
Question 18(Multiple Choice Worth 5 points)
Describe how to transform the graph of f into the graph of g.

f(x) = square root of quantity x minus two. and g(x) = square root of quantity x plus six.

Shift the graph of f left 8 units.
Shift the graph of f right 4 units.
Shift the graph of f left 4 units.
Shift the graph of f right 8 units.
Question 19(Multiple Choice Worth 5 points)
Identify intervals on which the function is increasing, decreasing, or constant.

g(x) = 1 - (x - 7)2

Increasing: x < 7; decreasing: x > 7
Increasing: x < -7; decreasing: x > -7
Increasing: x > 1; decreasing: x < 1
Increasing: x < 1; decreasing: x > 1
Question 20(Multiple Choice Worth 5 points)
A building has a ramp to its front doors to accommodate the handicapped. If the distance from the building to the end of the ramp is 20 feet and the height from the ground to the front doors is 6 feet, how long is the ramp? (Round to the nearest tenth.)

3.7 ft
5.1 ft
19.1 ft
20.9 ft