SOLUTION: quadratic function: g(x)=2x^2-8x Find the intervals where function g is positive( enter in interval notation) g(x)=>0 when x is in Find the intervals where function g is negat

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: quadratic function: g(x)=2x^2-8x Find the intervals where function g is positive( enter in interval notation) g(x)=>0 when x is in Find the intervals where function g is negat      Log On


   

Question 1087389: quadratic function: g(x)=2x^2-8x
Find the intervals where function g is positive( enter in interval notation)
g(x)=>0 when x is in
Find the intervals where function g is negative (enter in interval notation)
g(x)<0 when x is in
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
1.
2x%5E2-8x%3E0
2x%28x-4%29%3E0
solutions:
2x%3E0 =>x%3E0 or
%28x-4%29%3E0 =>x%3E4
interval:
(-infinity,0) U (4,infinity)
2.
2x%5E2-8x%3C0
2x%28x-4%29%3C0
solution:
x<0 or x<4.....g is negative between 0 and 4;so,interval is
0%3Cx%3C4+
interval notation:
(0,4)

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+2x%5E2-8x%29+