**Problem Statement:** Find all relative extrema as well as the \( x \)-values at which they occur. Where appropriate, indicate which of the relative extrema are absolute extrema. Using interval notation, state the interval(s) over which the function is increasing or decreasing, as well as the intervals over which the function is convex or concave. Sketch a graph of the function indicating any asymptotes or points of inflection. Scale appropriately. **Function:** \[ a. \quad f(x) = 5xe^{-4x}, \quad x \in [0,1] \] **Graph Explanation:** The provided graph grid is blank and consists of a standard Cartesian coordinate system suitable for plotting the function. The graph features labeled axes with arrowheads to indicate positive directions.

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