For , which argument proves that has exactly one real solution?

Answer and explanation

Correct answer: B. is strictly increasing, and

  1. Step 1: Bolzano gives at least one root, since and . Since , is strictly increasing, so there is at most one. **Answer: is strictly increasing, and . Why not the others:** Bolzano alone gives existence, not uniqueness; never vanishes; Rolle needs equal values.

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