Question

Choose the end behavior of the graph of each polynomial function. O Falls to the left and rises to the right Rises to the left und falls to the right (a) f(x) = x + x? - 9x + 2 Rises to the left and rises to the right O Falls to the left and falls to the right Falls to the left and rises to the right оо 2 Rises to the left and falls to the right (b) f(x) = 4x° - 2x' - 5x 3 Rises to the left and rises to the right Falls to the left and falls to the right Falls to the left and rises to the right Rises to the left and falls to the right (c) 5(x) = 5x (2x - 5) ? Rises to the left and rises to the right Falls to the left and falls to the right ?

Answer 1

(a) f(2) x3+x²_qx + 2 is 3 Here the degree of the Polynomial function which is an odd number and the leading coefficient is I, which is a positive number. Hence, the graph falls to the left and mises to the right. • Falls to the left and rises to the right. Answer :- 6 (b) f(x) 4 x - 223_52²_3 Here , the degree of the Polynomial function is 6, which is an even number and leading coefficient is 4 , which is a Positive number. the graph rises to the left and rises to the right the Hence, Answer: • Ries to the left and rises to the right.

(e) f(H) = 5* (2x-5)2 – 5x ( 48? – 2.24.5+25) = 5% (42 - 20% +15) = 2ox 10022 + 125x Here, the degree el of the Polynomial function is 3 which is an odd number and coefficient is 2o, which is a the leading Positive number. Hence, the graph falls to the left and rises to the right Answer: • Falls to the left and nises to the right.

Answer 2

f(x)=2x³+6x²-3x+8