Examine the leading term and determine the far-left and far-right behavior of the graph of the polynomial function $P ( x ) = 5 x ^ { 5 } + 5 x ^ { 3 } - 2 x ^ { 2 } + 8$ .
A)up to the far left, up to the far right
B)up to the far left, down to the far right
C)down to the far left, up to the far right
D)down to the far left, down to the far right
E)cannot be determined

Question

Quizplus · Accepted Answer

The leading term is $5x^5$, which has an odd degree and a positive coefficient, indicating the graph goes down to the far left and up to the far right.

Examine the Leading Term and Determine the Far-Left and Far-Right P(x)=5x5+5x3−2x2+8P ( x ) = 5 x ^ { 5 } + 5 x ^ { 3 } - 2 x ^ { 2 } + 8P(x)=5x5+5x3−2x2+8

Examine the Leading Term and Determine the Far-Left and Far-Right $P ( x ) = 5 x ^ { 5 } + 5 x ^ { 3 } - 2 x ^ { 2 } + 8$