Question:
If \( f(x) = 2x^2 - 3x + 4 \), what is \( f(2) - f(-2) \)?
If \( f(x) = 2x^2 - 3x + 4 \), what is \( f(2) - f(-2) \)?
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When evaluating a function at different points, plug in the values step by step and simplify carefully.
Updated On: Oct 6, 2025
- \( 20 \)
- \( 22 \)
- \( 24 \)
- \( 26 \)
- \( 28 \)
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The Correct Option is C
Solution and Explanation
Step 1: We are given the function \( f(x) = 2x^2 - 3x + 4 \), and we need to calculate \( f(2) - f(-2) \).
Step 2: First, calculate \( f(2) \):
\[
f(2) = 2(2)^2 - 3(2) + 4 = 2(4) - 6 + 4 = 8 - 6 + 4 = 6.
\]
Step 3: Next, calculate \( f(-2) \):
\[
f(-2) = 2(-2)^2 - 3(-2) + 4 = 2(4) + 6 + 4 = 8 + 6 + 4 = 18.
\]
Step 4: Now, calculate \( f(2) - f(-2) \):
\[
f(2) - f(-2) = 6 - 18 = -12.
\]
Thus, the value of \( f(2) - f(-2) \) is \( -12 \).
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