how to polynomial graph:end behavior

Question

what is the polynomial graph:end behavior of this

p(x)=10x³-5x²+2x+4

Answer 1

Because the degree is odd, the ends point in opposite directions. since the lead coefficient is positive, the graph points up as x gets larger and down as x gets smaller. 

 

End behavior:  As x approaches positive infinity, f(x) approaches infinity and as x approaches negative infinity, f(x) approaches negative infinity.

 

i hope this is helpful.

 

Wyatt