help please
tidtie1d34gQUESTION 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 |
|
|
Falls to the left, 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) = 4x2 - 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.
(4x3 + x2 - 11x + 6) ÷ (x + 2)
|
|
4x2 - 5x - 6 |
|
|
4x2 - 7x + 3 |
|
|
4x2 - 2x - 2 |
|
|
4x2 + 5x - 12 |
|
|
4x2 + 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 - 6x2 - 5x + 7
h(-8)
|
|
-849 |
|
|
-847 |
|
|
-851 |
|
|
-848 |
|
|
-845 |
QUESTION 6
Find all the rational zeroes of the function.
x3 - 12x2 + 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 |