Choose the end behavior of the graph of each polynomial function. f(x) = -2x^5 +

Question

Choose the end behavior of the graph of each polynomial function. f(x) = -2x^5 + 5x^4 + 3x^2 - 9 Falls to the left and rises to the right Rises to the left and falls to the right Rises to the left and rises to the right Falls to the left and falls to the right f(x) = 3x^4 + 9x^3 - 9x^2 - 6x Falls to the left and rises to the right Rises to the left and falls to the right Rises to the left and rises to the right Falls to the left and falls to the right f(x) = 4x(x - 4)(x + 2) Falls to the left and rises to the right Rises to the left and falls to the right Rises to the left and rises to the right Falls to the left and falls to the right

Explanation / Answer

a) f(x) = -2x^5 +5x^4 +3x^2 -9

With odd degree and -ve leading coefficient i.e. -2 is rises to the left and falls to the right

b) f(x) = 3x^4 +9x^3 -9x^2 -6x

With even degree and +ve leading coefficient i.e. 3 is rises to the left and rises to the right

c) f(x) = 4x(x-4)(x+2)

With odd degree and +ve leading coefficient eie. 4 is falls to the left and rises to the right

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