Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
I need help filling out the rest of this table after been given the x and f(x) values
![**Instructions:**
Given \( x \) and \( f(x) \), fill out the rest of the table.
**Table:**
\[
\begin{array}{|c|c|c|c|c|c|}
\hline
x & -2 & -1 & 0 & 1 & 2 \\
\hline
f(x) & -5 & 1 & 5 & 8 & 10 \\
\hline
f(x) - 1 & -6 & \, & \, & \, & 9 \\
\hline
f(x-1) & -7 & \, & \, & \, & 8 \\
\hline
-f(x) & 5 & \, & \, & \, & -10 \\
\hline
f(-x) & 10 & \, & \, & \, & -5 \\
\hline
\end{array}
\]
**Note:**
- The first row \( x \) contains input values.
- The second row \( f(x) \) lists corresponding output values for each \( x \).
- The subsequent rows represent transformations or variations of the function \( f(x) \):
- \( f(x) - 1\) subtracts 1 from each \( f(x) \) value.
- \( f(x-1) \) evaluates \( f \) at \( x-1 \).
- \(-f(x)\) negates each \( f(x) \) value.
- \( f(-x) \) evaluates \( f \) at the negation of each \( x \) value.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F97221978-2401-47d4-a93d-f486c3ae60b6%2F92c70fb0-a51b-47b5-9830-250d55e75fe9%2Fefnqf0x_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Instructions:**
Given \( x \) and \( f(x) \), fill out the rest of the table.
**Table:**
\[
\begin{array}{|c|c|c|c|c|c|}
\hline
x & -2 & -1 & 0 & 1 & 2 \\
\hline
f(x) & -5 & 1 & 5 & 8 & 10 \\
\hline
f(x) - 1 & -6 & \, & \, & \, & 9 \\
\hline
f(x-1) & -7 & \, & \, & \, & 8 \\
\hline
-f(x) & 5 & \, & \, & \, & -10 \\
\hline
f(-x) & 10 & \, & \, & \, & -5 \\
\hline
\end{array}
\]
**Note:**
- The first row \( x \) contains input values.
- The second row \( f(x) \) lists corresponding output values for each \( x \).
- The subsequent rows represent transformations or variations of the function \( f(x) \):
- \( f(x) - 1\) subtracts 1 from each \( f(x) \) value.
- \( f(x-1) \) evaluates \( f \) at \( x-1 \).
- \(-f(x)\) negates each \( f(x) \) value.
- \( f(-x) \) evaluates \( f \) at the negation of each \( x \) value.
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