MA 105 WEEK 8

Question 1

Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function.

https://content.grantham.edu/at/MA105/exams/w8_1.jpg

[removed]		Rises to the left, falls to the right
[removed]		Rises to the right, rises to the left
[removed]		Falls to the left, rises to the right
[removed]		Falls to the right
[removed]		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

[removed]		Falls to the left, rises to the right
[removed]		Falls to the left, falls to the right
[removed]		Rises to the left, rises to the right
[removed]		Rises to the left, falls to the right
[removed]		Falls to the left

Question 3

Find all the real zeroes of the polynomial function.

f(x) = x2 - 25

[removed]		-25
[removed]		5
[removed]		-5
[removed]		25
[removed]		±5

Question 4

Use synthetic division to divide.

(4x3 + x2 - 11x + 6) ÷ (x + 2)

[removed]		4x2 - 5x - 6
[removed]		4x2 - 7x + 3
[removed]		4x2 - 2x - 2
[removed]		4x2 + 5x - 12
[removed]		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)

[removed]		-849
[removed]		-847
[removed]		-851
[removed]		-848
[removed]		-845

Question 6

Find all the rational zeroes of the function.

x3 - 12x2 + 41x - 42

[removed]		-2, -3, -7
[removed]		2, 3, 7
[removed]		2, -3, 7
[removed]		-2, 3, 7
[removed]		-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.

[removed]		$38
[removed]		$35
[removed]		$36
[removed]		$37
[removed]		$34

Question 8

Find the domain of the function

https://content.grantham.edu/at/MA105/exams/w8_8.jpg

[removed]		Domain: all real numbers x except x = 7
[removed]		Domain: all real numbers x except x = ±49
[removed]		Domain: all real numbers x except x = ±8
[removed]		Domain: all real numbers x except x = -7
[removed]		Domain: all real numbers x except x = ±7

Question 9

Find the domain of the function and identify any vertical and horizontal asymptotes.

https://content.grantham.edu/at/MA105/exams/w8_9.jpg

[removed]		Domain: all real numbers x Vertical asymptote: x = 0 Horizontal asymptote: y = 0
[removed]		Domain: all real numbers x except x = 2 Vertical asymptote: x = 0 Horizontal asymptote: y = 0
[removed]		Domain: all real numbers x except x = 5 Vertical asymptote: x = 0 Horizontal asymptote: y = 2
[removed]		Domain: all real numbers x Vertical asymptote: x = 0 Horizontal asymptote: y = 2
[removed]		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.

https://content.grantham.edu/at/MA105/exams/w8_10.jpg

[removed]		x+3; vertical asymptote: x = -3
[removed]		x; vertical asymptote: none
[removed]		x; vertical asymptote: x = -3
[removed]		x-3; vertical asymptote: none
[removed]		x2; vertical asymptote: none

Question 11

Determine the equations of any horizontal and vertical asymptotes of

https://content.grantham.edu/at/MA105/exams/w8_11.jpg

[removed]		horizontal: y = 5; vertical: x = 0
[removed]		horizontal: y = 1; vertical: x = -5
[removed]		horizontal: y = 1; vertical: x = 1 and x = -5
[removed]		horizontal: y = -1; vertical: x = -5
[removed]		horizontal: y = 0; vertical: none

Question 12

Identify all intercepts of the following function.

https://content.grantham.edu/at/MA105/exams/w8_12.jpg

[removed]		x-intercepts: (±3, 0)
[removed]		no intercepts
[removed]		x-intercepts: (-3,0)
[removed]		x-intercepts: (0,0)
[removed]		x-intercepts: (3,0)

Question 13

Select the correct graph of the function.

https://content.grantham.edu/at/MA105/exams/w8_13.jpg

[removed]		https://content.grantham.edu/at/MA105/exams/w8_13_a.jpg
[removed]		https://content.grantham.edu/at/MA105/exams/w8_13_b.jpg
[removed]		https://content.grantham.edu/at/MA105/exams/w8_13_c.jpg
[removed]		https://content.grantham.edu/at/MA105/exams/w8_13_d.jpg
[removed]		https://content.grantham.edu/at/MA105/exams/w8_13_e.jpg

Question 14

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

https://content.grantham.edu/at/MA105/exams/w8_14.jpg

where t is the time in years. Find the populations when t=40. (Round your answer to the nearest whole number.)

[removed]		1,442 deer
[removed]		1,632 deer
[removed]		1,594 deer
[removed]		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

[removed]		584.191
[removed]		784.191
[removed]		-584.191
[removed]		684.191
[removed]		-784.191

Question 16

Select the graph of the function.

https://content.grantham.edu/at/MA105/exams/w8_16.jpg

[removed]		https://content.grantham.edu/at/MA105/exams/w8_16_a.jpg
[removed]		https://content.grantham.edu/at/MA105/exams/w8_16_b.jpg
[removed]		https://content.grantham.edu/at/MA105/exams/w8_16_c.jpg
[removed]		https://content.grantham.edu/at/MA105/exams/w8_16_d.jpg
[removed]		https://content.grantham.edu/at/MA105/exams/w8_16_e.jpg

Question 17

Use the One-to-One Property to solve the equation for x.

ex2-6 = e5x

[removed]		x = -6
[removed]		x = 5
[removed]		x = 6, -1
[removed]		x = -6, -1
[removed]		x = -6,1

Question 18

log366 = 1/2

[removed]		36½ = -6
[removed]		36½ = 6
[removed]		6½ = 36
[removed]		36½ = -1/6
[removed]		36½ = 1/6

Question 19

Write the exponential equation in logarithmic form.

272 = 729

[removed]		log27729 = 2
[removed]		log27729 = 1/2
[removed]		log72927 = 2
[removed]		log27729 = -2
[removed]		log272 = 729

Question 20

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

4 ln e7

[removed]		7
[removed]		28
[removed]		4
[removed]		e
[removed]		1

Question 21

Condense the expression to the logarithm of a single quantity.

ln310 + ln3x

[removed]		ln3(10 - x)
[removed]		ln310/x
[removed]		ln3(10 + x)
[removed]		ln310x
[removed]		ln310x

Question 22

Solve for x.

6x = 1,296

[removed]		6
[removed]		10
[removed]		4
[removed]		-6
[removed]		-4

Question 23

Solve the exponential equation algebraically. Approximate the result to three decimal places.

ex - 8 = 12

[removed]		ln20 ≈ 2.485
[removed]		ln20 ≈ 2.996
[removed]		ln20 ≈ -2.485
[removed]		ln20 ≈ 2.079
[removed]		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?

[removed]		1 year
[removed]		14.40 years
[removed]		13.86 years
[removed]		14.86 years
[removed]		13.40 years

Question 25

The populations (in thousands) of Pittsburgh, Pennsylvania from 2000 through 2007 can be modele by

https://content.grantham.edu/at/MA105/exams/w8_25.jpg

where t represents the year, with t = 0 corresponding to 2000. Use the model to find the population in the year 2001.

[removed]		2,418,774
[removed]		2,419,774
[removed]		2,421,774
[removed]		2,420,774

10 years ago

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