MA 105 Spoiltgenius Week 8 Assignment https://homeworklance.com/downloads/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