5

Set 14: Exponential Functions (Advanced)

Explanation

Answer: D

Which point does NOT lie on the graph of y=2(5)xy = 2(5)^x?

A.

(0,2)(0, 2)

B.

(1,10)(1, 10)

C.

(2,50)(2, 50)

D.

(2,25)(2, 25)

✓ Correct

Detailed Explanation

Choice D is correct. Choice D is the correct answer. Check each point. 1. Choice A: x=0x=0, y=2(5)0=2y = 2(5)^0 = 2 ✓ 2. Choice B: x=1x=1, y=2(5)1=10y = 2(5)^1 = 10 ✓ 3. Choice C: x=2x=2, y=2(5)2=50y = 2(5)^2 = 50 ✓ 4. Choice D: x=2x=2, y=5025y = 50 \neq 25 ✗ Strategic Tip: Substitute each point into the equation to verify. Choice A is incorrect because this point is on the graph. Choice B is incorrect because this point is on the graph. Choice C is incorrect because this point is on the graph.

Key Steps:

The correct answer is (2,25)(2, 25)

Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.

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