Choose the end behavior of the graph of each polynomial func
Choose the end behavior of the graph of each polynomial function.
(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 rises to the right
(d) Falls to the left and falls to the right
1. f (x) =2x3 - x2 - 2x - 9
2. f(x) = - 6x6 + 7x5 - 5x4 -7
3. f(x) = - 5x (2x -5)2
Solution
1) f(x) = 2x3 -x2 - 2x - 9 ; degree 3
f(x) is an odd degree polynomial
leading coefficint is 2 (positive number)
Hence Graph Falls to the left and rises to the right
2) f(x) = - 6x6 + 7x5 - 5x4 -7 ; degree = 6
f(x) is an even degree polynomial
leading coefficient is -6 (negative number)
Hence Graph Falls to the left and falls to the right
3) f(x) = - 5x (2x -5)2 ; degree 3
Graph is an odd degree polymial
leading coefficient is negative
Hence Graph of f(x) Rises to the left and falls to the right
