Question 2 Complete the table after finding a simplified form of the difference quotient. For the function f(x) = -7x², complete the table below: f(x+h)-f(x) h x h 5 2 5 1 5 0.1 5 0.01 Hint. Find the difference quotient at x=5 first!
Question 2 Complete the table after finding a simplified form of the difference quotient. For the function f(x) = -7x², complete the table below: f(x+h)-f(x) h x h 5 2 5 1 5 0.1 5 0.01 Hint. Find the difference quotient at x=5 first!
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...
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**Question 2**
Complete the table after finding a simplified form of the difference quotient.
For the function \( f(x) = -7x^2 \), complete the table below:
\[
\begin{array}{c|c|c}
x & h & \frac{f(x+h) - f(x)}{h} \\ \hline
5 & 2 & \\
5 & 1 & \\
5 & 0.1 & \\
5 & 0.01 & \\
\end{array}
\]
_Hint: Find the difference quotient at x=5 first!_
Options:
\[
\begin{array}{c|c|c}
x & h & \frac{f(x+h) - f(x)}{h} \\ \hline
5 & 2 & 12 \\
5 & 1 & 11 \\
5 & 0.1 & 101 \\
5 & 0.01 & 1001 \\
\end{array}
\]
\[
\begin{array}{c|c|c}
x & h & \frac{f(x+h) - f(x)}{h} \\ \hline
5 & 2 & \\
5 & 1 & \\
5 & 0.1 & \\
5 & 0.01 & \\
\end{array}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22fce4c2-957f-4685-be78-cc5499dc8887%2F44f8b899-5a8c-44bd-a89d-c38757b18234%2F1m8yai9_processed.jpeg&w=3840&q=75)
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**Question 2**
Complete the table after finding a simplified form of the difference quotient.
For the function \( f(x) = -7x^2 \), complete the table below:
\[
\begin{array}{c|c|c}
x & h & \frac{f(x+h) - f(x)}{h} \\ \hline
5 & 2 & \\
5 & 1 & \\
5 & 0.1 & \\
5 & 0.01 & \\
\end{array}
\]
_Hint: Find the difference quotient at x=5 first!_
Options:
\[
\begin{array}{c|c|c}
x & h & \frac{f(x+h) - f(x)}{h} \\ \hline
5 & 2 & 12 \\
5 & 1 & 11 \\
5 & 0.1 & 101 \\
5 & 0.01 & 1001 \\
\end{array}
\]
\[
\begin{array}{c|c|c}
x & h & \frac{f(x+h) - f(x)}{h} \\ \hline
5 & 2 & \\
5 & 1 & \\
5 & 0.1 & \\
5 & 0.01 & \\
\end{array}
\]
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