SOLUTION: Can someone help me with this question Please ? copy and paste the link to see please! http://prntscr.com/9f3bdu thank you.

Algebra ->  Functions -> SOLUTION: Can someone help me with this question Please ? copy and paste the link to see please! http://prntscr.com/9f3bdu thank you.       Log On


   



Question 1010771: Can someone help me with this question Please ?
copy and paste the link to see please!
http://prntscr.com/9f3bdu
thank you.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
let the leading coefficient be a%5Bn%5D:
When n is odd and a%5Bn%5D is negative graph rises to the left and falls to the right.
When n is even and a%5Bn%5D is positive graph rises to the left and right.
example:
%28-3x%5E3%2B5%29 the degree is odd and the leading coefficient is+negative
graph:
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-3x%5E3%2B5%29+

%28-2x%5E4-x%2B5%29 the degree is even and the leading coefficient is negative
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-2x%5E4-x%2B5%29+
their product:
%28-3x%5E3%2B5%29%28-2x%5E4-x%2B5%29=6x%5E7-7x%5E4-15x%5E3-5x%2B25
=>the degree is odd and the leading coefficient is+positive
+graph%28+600%2C+600%2C+-5%2C+5%2C+-5%2C+40%2C+6x%5E7-7x%5E4-15x%5E3-5x%2B25%29+

so, choice A is your answer since it is a graph of an odd function with a positive leading coefficient