Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
Fill out the table of values and select whether each function is odd, even or neither.
![The equation given is \( f(x) = -5x^3 + 1 \).
A table is shown to calculate values of \( y \) for different values of \( x \):
\[
\begin{array}{|c|c|}
\hline
x & y \\
\hline
-2 & \ \\
-1 & \ \\
0 & \ \\
1 & \ \\
2 & \ \\
\hline
\end{array}
\]
To find the corresponding \( y \) values, substitute each \( x \) value into the function \( f(x) \).
For example:
- For \( x = -2 \), calculate \( y = -5(-2)^3 + 1 \).
- For \( x = -1 \), calculate \( y = -5(-1)^3 + 1 \).
- For \( x = 0 \), calculate \( y = -5(0)^3 + 1 \).
- For \( x = 1 \), calculate \( y = -5(1)^3 + 1 \).
- For \( x = 2 \), calculate \( y = -5(2)^3 + 1 \).
This process will fill the table, providing the values of \( y \) corresponding to each \( x \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F660f3768-04db-40d7-8720-159b99056ea6%2Fad2cd1a2-3386-461d-98fa-639ee46762a0%2F6q22ioi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The equation given is \( f(x) = -5x^3 + 1 \).
A table is shown to calculate values of \( y \) for different values of \( x \):
\[
\begin{array}{|c|c|}
\hline
x & y \\
\hline
-2 & \ \\
-1 & \ \\
0 & \ \\
1 & \ \\
2 & \ \\
\hline
\end{array}
\]
To find the corresponding \( y \) values, substitute each \( x \) value into the function \( f(x) \).
For example:
- For \( x = -2 \), calculate \( y = -5(-2)^3 + 1 \).
- For \( x = -1 \), calculate \( y = -5(-1)^3 + 1 \).
- For \( x = 0 \), calculate \( y = -5(0)^3 + 1 \).
- For \( x = 1 \), calculate \( y = -5(1)^3 + 1 \).
- For \( x = 2 \), calculate \( y = -5(2)^3 + 1 \).
This process will fill the table, providing the values of \( y \) corresponding to each \( x \).
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