Capital One·Data Scientist·Technical Phone Screen
- Given a twice-differentiable function with specific limit behavior at infinity, known sign patterns for its first and second derivatives, and a point where the second derivative is undefined, sketch a qualitatively correct graph marking all local extrema and inflection points, determine whether two local maxima and one local minimum are consistent with the given conditions, and identify where inflection points must occur along with the slope behavior around the discontinuity in the second derivative.
“I was not expecting pure calculus in a data science screen.”