High School Pre-Cal

Question

Which statement best describes the end behavior of the graph of this function?

F(x)=3x^4-5x^2+2x-10


A.rises on the left and on the right

B.rises on the left and falls on the right

 
C.falls on the left and on the right

D.falls on the left and rises on the right 

Answer 1

f(x)=3x⁴-5x²+2x-10  the behavior as x→±∞  is

determined by the leading (highest power) term.

 

3x⁴→∞   as   x→ ∞ or  -∞  (so the answer is A).