Question: In each part, sketch the graph of a function \(f\) with the stated properties.

1. \(f\) is increasing on \((-\infty,+\infty)\), has an inflection point at the origin, and is concave up on \((0,+\infty)\).
2. \(f\) is increasing on \((-\infty,+\infty)\), has an inflection point at the origin, and is concave down on \((0,+\infty)\).
3. \(f\) is decreasing on \((-\infty,+\infty)\), has an inflection point at the origin, and is concave up on \((0,+\infty)\).
4. \(f\) is decreasing on \((-\infty,+\infty)\), has an inflection point at the origin, and is concave down on \((0,+\infty)\).

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