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What is the y-intercept of f(x) = (1/2)^x?

A. (0, 1)
B. (1,0)
C. (1, 1/2)
D. (0,0)​

1 Answer

5 votes

Answer:

A. (0, 1)

Explanation:

You want to know the y-intercept of f(x) = (1/2)^x.

Y-intercept

The y-intercept of a function is the function value when x=0. Put 0 where x is and do the arithmetic.

f(0) = (1/2)^0

f(0) = 1

The y-intercept is (x, f(x)) = (0, f(0)) = (0, 1).

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Additional comment

Any non-zero value to the zero power is 1.

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