SOLUTION: Given P(x)=4x^3+11x^2+16x-9, which of the following is true ? Link to answers below ( I don;t know how to type them on here: http://prntscr.com/9ens1i thanks

Algebra ->  Functions -> SOLUTION: Given P(x)=4x^3+11x^2+16x-9, which of the following is true ? Link to answers below ( I don;t know how to type them on here: http://prntscr.com/9ens1i thanks      Log On


   

Question 1010539: Given P(x)=4x^3+11x^2+16x-9, which of the following is true ?
Link to answers below ( I don;t know how to type them on here:
http://prntscr.com/9ens1i
thanks
Found 2 solutions by jim_thompson5910, josgarithmetic:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Given Image



The leading term is 4x%5E3. Since the leading coefficient is positive and the exponent is odd, this means that the graph falls on the left side and rises on the right side.

So in terms of limit notation, we know



and



we can see this when we graph P(x)

+graph%28+500%2C+500%2C+-10%2C+10%2C+-150%2C+150%2C+0%2C+4x%5E3%2B11x%5E2%2B16x-9%29+


so choice B is the only correct answer.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Polynomial is ODD degree. The way the question goes, the end behavior is like that of x^3.