Question

Please help me describe the end behaviour of the function g(x) = -3x5 + 2x4 -7x3 + 6x2 + 2x – 5

Answer 1

It behaves like \(- 3 x^5\)

Answer 2

A polynomial behaves near Infinity as the its term of highest degree

Answer 3

g(x) = -3x^5 + 2x^4 -7x^3 + 6x^2 + 2x – 5 **

Answer 4

@rcatabijan : @eliassaab is correct.

Answer 5

See the plot
http://www.wolframalpha.com/input/?i=plot++%28-3x%5E5+%2B+2x%5E4+-7x%5E3+%2B+6x%5E2+%2B+2x+%E2%80%93+5%2C-3+x%5E5%7D++from+x%3D10%2C++40

Answer 6

Or this one
http://www.wolframalpha.com/input/?i=plot++%28-3x%5E5+%2B+2x%5E4+-7x%5E3+%2B+6x%5E2+%2B+2x+%E2%80%93+5%2C-3+x%5E5%7D++from+x%3D-40%2C++40

Answer 7

Thank you Elissa, I understand now :)

Answer 8

YW