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Answer: ASet 4: Exponential Functions (Intermediate)
Explanation
For , which is larger: or ?
A.
✓ Correct
B.
C.
They are equal
D.
Cannot determine
Detailed Explanation
Choice A is correct. Choice A is the correct answer. Exponential growth increases with . 1. Base: means the function is growing. 2. Comparison: As increases, increases. 3. Conclusion: since . Strategic Tip: For growth functions (), larger gives larger . Choice B is incorrect because the function is increasing. Choice C is incorrect because different inputs give different outputs. Choice D is incorrect because we can determine this from the growth property.
Key Steps:
•
The correct answer is
Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.
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