Question 399594
A graphing calculator is recommended. 
Determine the end behavior of P. 
P(x) = 3x^3 + x^2 + 5x + 8
---
You don't need a calculator.  End behavior
is determined by the highest power term.
---
As x goes to +inf, (3x^3) goes to +inf; so y goes to +inf
------------------------
As x  goes to -inf, (3x^3) goes to -inf: so y goes to -inf.


-------------------------------------------------------
Cheers,
Stan H.