Set 10: Exponential Functions

Explanation

Answer: A

Which function has the greatest y-intercept?

A: $y = 50(2)^x$ B: $y = 100(0.5)^x$ C: $y = 25(3)^x$ D: $y = 75(1.5)^x$

Function B

✓ Correct

Function A

Function D

Function C

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Compare initial values. 1. Y-intercepts (when $x=0$ , $b^0=1$ ): - Function A: $50$ - Function B: $100$ ← Largest - Function C: $25$ - Function D: $75$ 2. Winner: Function B with 100. Strategic Tip: Y-intercept of $y = ab^x$ is always $a$ . Choice B is incorrect because Function A's intercept is 50, not the largest. Choice C is incorrect because Function D's intercept is 75. Choice D is incorrect because Function C's intercept is only 25.

Key Steps:

•

The correct answer is Function B

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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