4
advanced-mathA graph passes through the points and . Which exponential function matches this data?
A
B
C
D
Correct Answer: A
Choice A is the correct answer. Use the two points to find and .
- Find : At , , so .
- Find : At , , so , giving .
- Equation: .
💡 Strategic Tip: The point directly gives you , making it easy to solve for .
Choice B is incorrect because it reverses the initial value and the point at . Choice C is incorrect because this is a linear function. Choice D is incorrect because it swaps and .