Choose the end behavior of the graph of each polynomial function. (a) f(x) = 4x^

Question

Choose the end behavior of the graph of each polynomial function. (a) f(x) = 4x^6 + 2x^5 + 9X + 5 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 (b) f(x) = - 4x^3 - 5x^2 - 8x - 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 (c) f(x) = 2(x - 2)^2(x + 4) 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) Falls to the left and rises to the right

(b) Rises to the left and falls to the right

(c) Rises to the left and falls to the right

Method: Calculate the value of function f(x) at 3 points i.e. at x= 0, x= 1 and x= -1. Draw these 3 points (x,y) on the graph to know the nature of graph of respective function.

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