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 | ||
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 funciton.
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.
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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 |
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.
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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 logarighmic 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 |
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 population in the year 2001.
2,418,774 | ||
2,419,774 | ||
2,421,774 | ||
2,420,774 |