Set 7: Exponential Functions

Explanation

Answer: A

Identify the function for the table:

x	y
0	3
1	12
2	48

$y = 3(4)^x$

✓ Correct

$y = 4(3)^x$

$y = 3(12)^x$

$y = 12(3)^x$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Check initial value and multiplier. 1. Initial: At $x=0, y=3$ . So $a=3$ . 2. Ratio: $12 /3 = 4$ , $48 /12 = 4$ . So $b=4$ . 3. Equation: $y = 3(4)^x$ . Strategic Tip: The multiplier between consecutive y-values is the base. Choice B is incorrect because it swaps $a$ and $b$ . Choice C is incorrect because it uses the second y-value as the base.

Key Steps:

•

The correct answer is $y = 3(4)^x$

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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