Select the correct description of right-hand and left-hand behavior, algebra homework help

QUESTION 1

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

4 points

QUESTION 2

1. 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

4 points

QUESTION 3

1. Find all the real zeroes of the polynomial function.f(x) = x² – 25

   		-25
   		5
   		-5
   		25
   		±5

4 points

QUESTION 4

1. 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

4 points

QUESTION 5

1. Use the Remainder Theorem and synthetic division to find the function value. Verify your answers using another method.h(x) = x³ – 6x² – 5x + 7h(-8)

   		-849
   		-847
   		-851
   		-848
   		-845

4 points

QUESTION 6

1. 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

4 points

QUESTION 7

1. The total revenue R earned (in thousands of dollars) from manufacturing handheld video games is given by R(p) = -25p² + 1700pwhere p is the price per unit (in dollars).Find the unit price that will yield a maximum revenue.

   		$38
   		$35
   		$36
   		$37
   		$34

4 points

QUESTION 8

1. 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

4 points

QUESTION 9

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

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

4 points

QUESTION 10

1. 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

4 points

QUESTION 11

1. 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

4 points

QUESTION 12

1. 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)

4 points

QUESTION 13

1. Select the correct graph of the function.

4 points

QUESTION 14

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

4 points

QUESTION 15

1. Evaluate the function at the indicated value of x. Round your result to three decimal places.Function: f(x) = 6000(6^x) Value: x = -1.3

   		584.191
   		784.191
   		-584.191
   		684.191
   		-784.191

4 points

QUESTION 16

1. Select the graph of the function.

4 points

QUESTION 17

1. Use the One-to-One Property to solve the equation for x.e^x2-6 = e^5x

   		x = -6
   		x = 5
   		x = 6, -1
   		x = -6, -1
   		x = -6,1

4 points

QUESTION 18

1. log₃₆6 = ¹/₂

   		36½ = -6
   		36½ = 6
   		6½ = 36
   		36½ = –1/6
   		36½ = 1/6

4 points

QUESTION 19

1. Write the exponential equation in logarithmic form.27² = 729

   		log27729 = 2
   		log27729 = 1/2
   		log72927 = 2
   		log27729 = -2
   		log272 = 729

4 points

QUESTION 20

1. Find the exact value of the logarighmic expression without using a calculator.4 ln e⁷

   		7
   		28
   		4
   		e
   		1

4 points

QUESTION 21

1. 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

1. Solve for x.6^x = 1,296

   		6
   		10
   		4
   		-6
   		-4

4 points

QUESTION 23

1. Solve the exponential equation algebraically. Approximate the result to three decimal places.e^x – 8 = 12

   		ln20 ≈ 2.485
   		ln20 ≈ 2.996
   		ln20 ≈ -2.485
   		ln20 ≈ 2.079
   		ln20 ≈ -2.996

4 points

QUESTION 24

1. 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

4 points

QUESTION 25

1. 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
   		2,422,774

4 points