1

Set 14: Exponential Functions (Advanced)

Explanation

Answer: B

Given y=0.5(4)xy = 0.5(4)^x, what is the y-intercept?

A.

4

B.

0.5

✓ Correct
C.

2

D.

0

Detailed Explanation

Choice B is correct. Choice B is the correct answer. The y-intercept is the value when x=0x=0. 1. Substitute: Let x=0x=0. 2. Calculate: y=0.5(4)0=0.5(1)=0.5y = 0.5(4)^0 = 0.5(1) = 0.5. 3. Identify: The coefficient aa is the y-intercept. Strategic Tip: Don't be confused if aa is a decimal. It's still the initial value. Choice A is incorrect because 4 is the base. Choice C is incorrect because it multiplies 0.5×40.5\times 4.

Key Steps:

The correct answer is 0.5

Why others are wrong:
A: Choice A 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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