Choose the end behavior of the graph of each polynomial function. 0 Falls to the

Question

Choose the end behavior of the graph of each polynomial function. 0 Falls to the left and rises to the right O Rises to the left and falls to the right O Rises to the left and rises to the right O Falls to the left and falls to the right O Falls to the left and rises to the right O Rises to the left and falls to the right O Rises to the left and rises to the right O Falls to the left and falls to the right O Falls to the left and rises to the right O Rises to the left and falls to the right O Rises to the left and rises to the right OFalls to the left and falls to the right (a) ) 3xx6x 1 (b) f(x) -6xx2x 7x (c) (x)--3x (x + 1)G-4)

Explanation / Answer

Use the degree of the function, as well as the sign of the leading coefficient to determine the behavior.

1. Even and Positive: Rises to the left and rises to the right.

2. Even and Negative: Falls to the left and falls to the right.

3. Odd and Positive: Falls to the left and rises to the right.

4. Odd and Negative: Rises to the left and falls to the right

1)Since the leading term of the polynomial (the term in a polynomial which contains the highest power of the variable) is 3x3 then the degree is 3, i.e. odd, and the leading coefficient is 3, i.e. positive.

so graph is Falls to the left and rises to the right. option A

2)Since the leading term of the polynomial (the term in a polynomial which contains the highest power of the variable) is 5x4, then the degree is 4, i.e. even, and the leading coefficient is 5,i.e. positive

so the graph is  Rises to the left and rises to the right. option C

3)Since the leading term of the polynomial (the term in a polynomial which contains the highest power of the variable) is ?3x4, then the degree is 4, i.e. even, and the leading coefficient is ?3, i.e. negative.

so grapgh is Falls to the left and falls to the right. option D

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