College Math Placement Practice Test 2025 - Free College Math Questions and Study Guide

Question: 1 / 400

If the exponential function is f(x) = 2^x, what is f(3)?

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To find the value of the exponential function \( f(x) = 2^x \) at \( x = 3 \), we substitute 3 into the function. This gives us:

\[ f(3) = 2^3 \]

Calculating \( 2^3 \):

- \( 2^1 = 2 \)

- \( 2^2 = 4 \)

- \( 2^3 = 2 \times 2 \times 2 = 8 \)

So, \( f(3) = 8 \), which confirms that the value of the function when \( x = 3 \) is indeed 8.

This understanding of how exponential functions operate is crucial, as it illustrates how to evaluate them for any input value. In this case, recognizing that \( 2^3 \) is simply \( 2 \) multiplied by itself three times leads us directly to the answer.

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