If on and on , how does the graph of behave?
Answer and explanation
Correct answer: D. Strictly increasing and concave downwards
- Step 1: A positive first derivative () implies that the function is strictly increasing. A negative second derivative () implies that the slope of the tangent decreases, meaning the curve is concave downwards. Answer: Strictly increasing and concave downwards. Why not the others: "Strictly decreasing and concave upwards" contradicts both conditions, requiring and ; "Strictly increasing and concave upwards" matches but incorrectly assumes (cup shape); "Strictly decreasing and concave downwards" violates the condition which mandates increasing behavior.
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