10
advanced-mathThe function models water level in a tank. What is the minimum water level?
A
5 units
B
10 units
C
15 units
D
0 units
Correct Answer: A
Choice A is the correct answer. Find the lower bound.
- Growth Function: means increasing.
- As : , so .
- Minimum: Approaches but never reaches 5 (horizontal asymptote).
- Conclusion: Minimum level is 5 units (approached but not achieved).
💡 Strategic Tip: For growth with vertical shift , minimum is (as ).
Choice B is incorrect because 10 is the coefficient, not the minimum. Choice C is incorrect because this is , not the minimum. Choice D is incorrect because the +5 shift prevents reaching 0.