2 Which of the following polynomials has a graph which exhib

2. Which of the following polynomials has a graph which exhibits the end behavior of downward to the left and upward to the right? 2. B. C. D. f(x)--3x6-5x3-1 f(x) = 4x3 + 2x+6 f(x) = 5x4 +3x3-x

Solution

1) An odd degree polynomial with positive coefficient drops to the left and raises to the right

from the options , odd degree polynomial with positive coefficient is f(x) = 4x³ + 2x + 6

Hence option C

2) Given graph resembles a cosine function with amplitute 2 units and shifted 1 unit vertically

==> Graph is y = 1 + 2cosx

Hence Option C) f(x) = 2cosx + 1