Write the equation of a polynomial function with the given characteristics. Use a leading coefficient of 1 or -1 and make the degree of the function as small as possible.Crosses the x-axis at -2, 0, and 4; lies above the x-axis between -2 and 0; lies below the x-axis between 0 and 4.
A. f(x) = x3+ 2x2 - 8x
B. f(x) = - x3- 2x2 + 8x
C. f(x) = x3- 2x2 - 8x
D. f(x) = -x3 + 2x2 + 8x
Answer: C
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Choose the graph that matches the function. f(x) = 
x - 6
A. 
B. 
C. 
D. 
Solve the system of equations.2x + y = -62x - z = 6y + z = -12
A. 
B. 
C. 
D. 
Solve the problem.Water consumption in billions of gallons by Country F can be modeled by 
where x is the year. Similarly, water consumption by Country G can be modeled by 
(i) Numerically determine the year when the water consumption by the two countries was approximately equal. (ii) Determine the years when water consumption by Country G exceeds that of Country F.
A. Equal in about 2024; G exceeds F before 2024 B. Equal in about 2047; G exceeds F after 2047 C. Equal in about 2035; G exceeds F before 2035 D. Equal in about 2024; G exceeds F after 2024
Divide f(x) by d(x), and write a summary statement in the form indicated.f(x) = 4x3 - 8x2 - 3x + 4; d(x) = 2x + 1 (Write answer in polynomial form)
A. f(x) = (2x + 1)(2x2 - 3x + 1) + 3 B. f(x) = (2x + 1)(2x2 - 5x + 1) + 3 C. f(x) = (2x + 1)(-2x2 - 5x + 1) + 3 D. f(x) = (2x + 1)(2x2 - 5x + 1) - 3