Question 1(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 2(Multiple Choice Worth 5 points)
Find the remainder when f(x) is divided by (x - k).

f(x) = 8x4 + 7x3 + 5x2 - 5x + 35; k = 4

2,591
9,679
4,220
1,505
Question 3(Multiple Choice Worth 5 points)
Write the quadratic function in vertex form.

y = x2 - 2x + 5

y = (x + 1)2 - 4
y = (x + 1)2 + 4
y = (x - 1)2 - 4
y = (x - 1)2 + 4
Question 4(Multiple Choice Worth 5 points)
Find all solutions in the interval [0, 2π).

sin2 x + sin x = 0

x = 0, π, pi divided by three, five pi divided by three
x = 0, π, pi divided by three, two pi divided by three
x = 0, π, four pi divided by three, five pi divided by three
x = 0, π, three pi divided by two
Question 5 (Yes/No Worth 5 points)
Use the Factor Theorem to determine whether the first polynomial is a factor of the second polynomial.

x - 5; 3x2 + 7x + 40

Yes
No
Question 6(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 7(Multiple Choice Worth 5 points)
Find the exact value of the real number y.

y = csc-1(1)

2π
pi divided by four
π
pi divided by two
Question 8(Multiple Choice Worth 5 points)
Solve for x. Round your answer to 2 decimal places.

A right triangle is shown where the angle between the hypotenuse, of length x units, and a leg, of length twelve units, is fifty one degrees.

7.55
15.44
19.07
9.33
Question 9(Multiple Choice Worth 5 points)
Find f(x) and g(x) so that the function can be described as y = f(g(x)).

y = seven divided by square root of quantity eight x plus ten.

f(x) = seven divided by x., g(x) = 8x + 10
f(x) = seven divided by square root of x., g(x) = 8x + 10
f(x) = square root of quantity eight x plus ten., g(x) = 7
f(x) = 7, g(x) = square root of quantity eight x plus ten.
Question 10(Multiple Choice Worth 5 points)
Identify intervals on which the function is increasing, decreasing, or constant.

g(x) = 4 - (x - 6)2

Increasing: x 4
Increasing: x 6
Increasing: x -6
Increasing: x > 4; decreasing: x 0
All real numbers
x ≥ -8, x ≠ -4, x ≠ 6
Question 28(Multiple Choice Worth 5 points)
Determine algebraically whether the function is even, odd, or neither even nor odd.

f(x) = -8x3 + 6x

Odd
Even
Neither
Question 29(Multiple Choice Worth 5 points)
Perform the requested operation or operations.

f(x) = x minus three divided by eight.; g(x) = 8x + 3, find g(f(x)).

g(f(x)) = x
g(f(x)) = x - three divided by eight.
g(f(x)) = 8x + 21
g(f(x)) = x + 6
Question 30(Multiple Choice Worth 5 points)
Find the measures of two angles, one positive and one negative, that are coterminal with the given angle.

263°

623°; -187°
443°; -97°
623°; -97°
533°; -7°
Question 31(Multiple Choice Worth 5 points)
Find the zeros of the function.

f(x) = 8x3 + 40x2 + 48x

-2 and -3
2 and 3
0, -2, and -3
0, 2, and 3
Question 32(Multiple Choice Worth 5 points)
The Cool Company determines that the supply function for its basic air conditioning unit is S(p) = 40 + 0.008p3 and that its demand function is D(p) = 200 - 0.16p2, where p is the price. Determine the price for which the supply equals the demand.

$22.36
$21.86
$21.36
$22.86