MA 105 Spoiltgenius Week 8 Assignment
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QUESTION 1
Select the correct description of right-hand and left-hand behavior of the graph of the
polynomial function.
Rises to the left, falls to the right
Rises to the right, rises to the left
Falls to the left, rises to the right
Falls to the right
QUESTION 2
Select the correct description of right-hand and left-hand behavior of the graph of the
polynomial function.
f(x) = 4×2 – 5x + 4
Falls to the left, rises to the right
Falls to the left, falls to the right
Rises to the left, rises to the right
Rises to the left, falls to the right
Falls to the left
QUESTION 3
Find all the real zeroes of the polynomial function.
f(x) = x2 – 25
-25
5
-5
25
±5
QUESTION 4
Use synthetic division to divide.
(4×3 + x2 – 11x + 6) ÷ (x + 2)
4×2 – 5x – 6
4×2 – 7x + 3
4×2 – 2x – 2
4×2 + 5x – 12
4×2 + 7x – 4
QUESTION 5
Use the Remainder Theorem and synthetic division to find the function value. Verify
your answers using another method.
h(x) = x3 – 6×2 – 5x + 7
h(-8)
-849
-847
-851
-848
-845
QUESTION 6
Find all the rational zeroes of the function.
x3 – 12×2 + 41x – 42
-2, -3, -7
2, 3, 7
2, -3, 7
-2, 3, 7
-2, 3, -7
QUESTION 7
The total revenue R earned (in thousands of dollars) from manufacturing handheld video
games is given by
R(p) = -25p2 + 1700p
where p is the price per unit (in dollars).
Find the unit price that will yield a maximum revenue.
$38
$35
$36
$37
$34
QUESTION 8
Find the domain of the function
Domain: all real numbers x except x = 7
Domain: all real numbers x except x = ±49
Domain: all real numbers x except x = ±8
Domain: all real numbers x except x = -7
Domain: all real numbers x except x = ±7
QUESTION 9
Find the domain of the function and identify any vertical and horizontal asymptotes.
Domain: all real numbers x
Vertical asymptote: x = 0
Horizontal asymptote: y = 0...