MA 105 Spoiltgenius Week 8 Assignment

 

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
Domain: all real numbers x except x = 2
Vertical asymptote: x = 0
Horizontal asymptote: y = 0
Domain: all real numbers x except x = 5
Vertical asymptote: x = 0
Horizontal asymptote: y = 2
Domain: all real numbers x

Vertical asymptote: x = 0
Horizontal asymptote: y = 2
Domain: all real numbers x except x = 5
Vertical asymptote: x = 5
Horizontal asymptote: y = 0
QUESTION 10

Simplify f and find any vertical asymptotes of f.

x+3; vertical asymptote: x = -3
x; vertical asymptote: none
x; vertical asymptote: x = -3
x-3; vertical asymptote: none
x2; vertical asymptote: none
QUESTION 11

Determine the equations of any horizontal and vertical asymptotes of

horizontal: y = 5; vertical: x = 0
horizontal: y = 1; vertical: x = -5
horizontal: y = 1; vertical: x = 1 and x = -5
horizontal: y = -1; vertical: x = -5
horizontal: y = 0; vertical: none
QUESTION 12

Identify all intercepts of the following function.

x-intercepts: (±3, 0)
no intercepts
x-intercepts: (-3,0)
x-intercepts: (0,0)
x-intercepts: (3,0)
QUESTION 13

Select the correct graph of the function.

 

QUESTION 14

The game commission introduces 100 deer into newly acquired state game lands. The
population N of the herd is modeled by

where t is the time in years. Find the populations when t=40. (Round your answer to
the nearest whole number.)
1,442 deer
1,632 deer
1,594 deer
1,550 deer
1,500 deer
QUESTION 15

Evaluate the function at the indicated value of x. Round your result to three decimal
places.
Function: f(x) = 6000(6x)

Value: x = -1.3

584.191
784.191
-584.191
684.191
-784.191
QUESTION 16

Select the graph of the function.

 

 

QUESTION 17

Use the One-to-One Property to solve the equation for x.
ex2-6 = e5x
x = -6
x=5
x = 6, -1
x = -6, -1
x = -6,1
QUESTION 18

log366 = 1/2
36½ = -6
36½ = 6
6½ = 36
36½ = -1/6
36½ = 1/6
QUESTION 19

Write the exponential equation in logarithmic form.
272 = 729
log27729 = 2
log27729 = 1/2
log72927 = 2
log27729 = -2
log272 = 729
QUESTION 20

Find the exact value of the logarithmic expression without using a calculator.

4 ln e7
7
28
4
e
1
QUESTION 21

Condense the expression to the logarithm of a single quantity.
ln310 + ln3x
ln3(10 – x)
ln310/x
ln3(10 + x)
ln310x
ln310x
4 points
QUESTION 22

Solve for x.
6x = 1,296
6
10
4
-6
-4
QUESTION 23

Solve the exponential equation algebraically. Approximate the result to three decimal
places.
ex – 8 = 12
ln20 ≈ 2.485
ln20 ≈ 2.996
ln20 ≈ -2.485
ln20 ≈ 2.079

ln20 ≈ -2.996
QUESTION 24

An initial investment of $9000 grows at an annual interest rate of 5% compounded
continuously. How long will it take to double the investment?
1 year
14.40 years
13.86 years
14.86 years
13.40 years
QUESTION 25

The populations (in thousands) of Pittsburgh, Pennsylvania from 2000 through 2007 can
be modele by
where t represents the year, with t = 0
corresponding to 2000. Use the model to find the numbers of cell sites in the year
2001.
2,418,774
2,419,774
2,421,774
2,420,774
2,422,774