Choose the end behavior of the graph of each polynomial function. Falls to the l

Question

Choose the end behavior of the graph of each polynomial function. Falls to the left and rises to thenght O Rises to the left and falls to the right Rises to the left and rises to the right O Falls to the left and fals to the right O Falls to the left and rises to the right O Rises to the left and falls to the right Rises to the left and rises to the nght Falis to the left and tals to the right /(r)-6xs+ 4x4-5x+3x |CR (b) @ Falls to the left and rises to the right D Rses to the left and falls to the right Rises to the left and rises to the right O Falls to the left and fals to the right Undo Clear

Explanation / Answer

We know that:

1. For a polynomial of Even degree,

i) If the leading coefficient is positive, the graph rises both to the right and the left;

ii) If the leading coefficient is negative, the graph falls both to the right and the left;

2. For a polynomial of Odd degree,

i) If the leading coefficient is positive, the graph rises to the right and falls to the left;

ii) If the leading coefficient is negative, the graph falls to the right and rises to the left;

In the given question

a) The polynomial is of even degree with a positive leading coefficient. Therefore,  the graph rises both to the right and the left;

b) The polynomial is of odd degree with a positive leading coefficient. Therefore,  the graph rises to the right and falls to the left;

c)The polynomial is of even degree with a negative leading coefficient. Therefore,  the graph falls both to the right and the left.

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