alleryConcavity test: f(x) = e^x is:
AConstant
BConcave down
CConcave up (f''(x) = e^x > 0 everywhere)
DLinear
Answer & Solution
Correct answer: C. Concave up (f''(x) = e^x > 0 everywhere)
f'' = e^x > 0 for all real x.
So always concave up (curves upward).
**Famously:** e^x is its own derivative
all higher derivatives are e^x > 0.
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