Completely Analyze G(x)= (x-D)(x-E)e^x-F

Where 0 < D < E < F are positive constants

DO NOT substitute your own number values for these constant.

Explain everything algebraically or give a verbal explanation. Explain how you know what you are doing is alright. Such as the number order, the roots of your positive numbers, and the values that are negative.

Explain every little detail so I can follow along

What we need is Domain, Zeros, derivative, Critical numbers, continuity, Discontinuity and Singularities, Limiting Behavior around Singularities, End- Behavior, Decreasing/ Increasing, Local max and min, Global max and min and the Range.