Question:
If \( f(x) = x^3 - 4x + 1 \), find \( f(-2) \).
If \( f(x) = x^3 - 4x + 1 \), find \( f(-2) \).
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When evaluating functions for specific values, simply substitute the value of \( x \) into the function and perform the arithmetic operations.
Updated On: Oct 6, 2025
- \( 3 \)
- \( 1 \)
- \( -1 \)
- \( 0 \)
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The Correct Option is B
Solution and Explanation
We are given the function \( f(x) = x^3 - 4x + 1 \) and asked to find \( f(-2) \).
To evaluate the function at \( x = -2 \), we substitute \( -2 \) for \( x \) in the expression for \( f(x) \):
\[
f(-2) = (-2)^3 - 4(-2) + 1.
\]
Now, calculate each term:
1. \( (-2)^3 = -8 \),
2. \( -4(-2) = 8 \),
3. The constant term is \( 1 \).
Thus, we have:
\[
f(-2) = -8 + 8 + 1.
\]
Finally, simplify the expression:
\[
f(-2) = 1.
\]
Therefore, the value of \( f(-2) \) is \( 1 \).
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