Bowen Cross
03/23/2024 · Primary School
\( f ( x ) = - 4 x ^ { 2 } + x ; a = - 2,3 \)
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Tutor-Verified Answer
Step-by-step Solution
To analyze the function \( f(x) = -4x^2 + x \) at the points \( a = -2 \) and \( a = 3 \), we can evaluate the function at these points.
1. **Evaluate \( f(-2) \)**:
\[
f(-2) = -4(-2)^2 + (-2)
\]
\[
= -4(4) - 2
\]
\[
= -16 - 2
\]
\[
= -18
\]
2. **Evaluate \( f(3) \)**:
\[
f(3) = -4(3)^2 + 3
\]
\[
= -4(9) + 3
\]
\[
= -36 + 3
\]
\[
= -33
\]
Thus, the values of the function at the specified points are:
- \( f(-2) = -18 \)
- \( f(3) = -33 \)
If you need further analysis, such as finding the vertex or the maximum value of the function, please let me know!
Quick Answer
- \( f(-2) = -18 \)
- \( f(3) = -33 \)
Answered by UpStudy AI and reviewed by a Professional Tutor
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