SOLUTION: The domain of the function q(x) = x^4 + 8x^2 + 7x^3 is (-infty,infty). What is the range?

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Question 1209605: The domain of the function q(x) = x^4 + 8x^2 + 7x^3 is (-infty,infty). What is the range?
Answer by mccravyedwin(408)   (Show Source): You can put this solution on YOUR website!
The graph of





We need to find the lowest point on the graph.

We use the derivative:



and set it equal to 0:





; 

Solve that by the quadratic formula:



We want the lowest value which is the leftmost minimum point, so we use
the - sign

We substitute  in

  and after much work, we get

 so the range is



Edwin



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