Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function.
4 points
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
4 points
QUESTION 3
Find all the real zeroes of the polynomial function.f(x) = x2 – 25
4 points
QUESTION 4
Use synthetic division to divide.(4x3 + x2 – 11x + 6) ÷ (x + 2)
4 points
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 + 7h(-8)
4 points
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
4 points
QUESTION 7
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.
4 points
QUESTION 8
Find the domain of the function
4 points
QUESTION 9
Find the domain of the function and identify any vertical and horizontal asymptotes.
4 points
QUESTION 10
Simplify f and find any vertical asymptotes of f.
4 points
QUESTION 11
Determine the equations of any horizontal and vertical asymptotes of
4 points
QUESTION 12
Identify all intercepts of the following function.
4 points
QUESTION 13
Select the correct graph of the function.
4 points
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.)
4 points
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
4 points
QUESTION 16
Select the graph of the function.
4 points
QUESTION 17
Use the One-to-One Property to solve the equation for x.ex2-6 = e5x
4 points
QUESTION 18
log36 6 = 1 /2
4 points
QUESTION 19
Write the exponential equation in logarithmic form.272 = 729
4 points
QUESTION 20
Find the exact value of the logarighmic expression without using a calculator.4 ln e7
4 points
QUESTION 21
Condense the expression to the logarithm of a single quantity.ln3 10 + ln3 x
4 points
QUESTION 22
Solve for x.6x = 1,296
4 points
QUESTION 23
Solve the exponential equation algebraically. Approximate the result to three decimal places.ex – 8 = 12
4 points
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?
4 points
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
2,422,774
4 points
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