Set 9: Exponential Functions (Advanced)

Explanation

Answer: A

Which table shows exponential growth with a base of 4?

Table A:

$x$	$y$
0	2
1	8
2	32

Table B:

$x$	$y$
0	4
1	8
2	12

Table A

✓ Correct

Table B

Both tables

Neither table

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Check the growth factor for each table. 1. Table A: Ratio $\frac{8}{2} = 4$ and $\frac{32}{8} = 4$ → Base is 4 ✓ 2. Table B: Difference is constant ( $8 -4=4$ , $12 -8=4$ ) → Linear, not exponential. 3. Equation for A: $y = 2(4)^x$ . Strategic Tip: Exponential = constant ratio. Linear = constant difference. Choice B is incorrect because Table B is linear. Choice C is incorrect because only one table is exponential. Choice D is incorrect because Table A is exponential.

Key Steps:

•

The correct answer is Table A

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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Set 9: Exponential Functions (Advanced)

Detailed Explanation

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