Given the table of values for f(t), is f(t) increasing or decreasing? It f(t) 1 10 O increasing O neither decreasing 3 14 12 55 180 90 5 97 16 95
Given the table of values for f(t), is f(t) increasing or decreasing? It f(t) 1 10 O increasing O neither decreasing 3 14 12 55 180 90 5 97 16 95
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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![**Problem Statement:**
Given the table of values for \( f(t) \), is \( f(t) \) increasing or decreasing?
**Table of Values:**
\[
\begin{array}{c|c|c|c|c|c|c}
t & 1 & 2 & 3 & 4 & 5 & 6 \\
\hline
f(t) & 10 & 55 & 80 & 90 & 97 & 95 \\
\end{array}
\]
**Options:**
- ○ increasing
- ○ neither
- ○ decreasing
**Analysis:**
- From \( t = 1 \) to \( t = 5 \), \( f(t) \) increases: 10, 55, 80, 90, 97.
- From \( t = 5 \) to \( t = 6 \), \( f(t) \) decreases: 97 to 95.
Therefore, \( f(t) \) is neither strictly increasing nor strictly decreasing.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb8492a80-fb1a-4bc0-8e68-f5fde27cb209%2F9f04c0ee-5189-4bf7-8b2c-5b17a409f3b3%2Fhqikzws_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Given the table of values for \( f(t) \), is \( f(t) \) increasing or decreasing?
**Table of Values:**
\[
\begin{array}{c|c|c|c|c|c|c}
t & 1 & 2 & 3 & 4 & 5 & 6 \\
\hline
f(t) & 10 & 55 & 80 & 90 & 97 & 95 \\
\end{array}
\]
**Options:**
- ○ increasing
- ○ neither
- ○ decreasing
**Analysis:**
- From \( t = 1 \) to \( t = 5 \), \( f(t) \) increases: 10, 55, 80, 90, 97.
- From \( t = 5 \) to \( t = 6 \), \( f(t) \) decreases: 97 to 95.
Therefore, \( f(t) \) is neither strictly increasing nor strictly decreasing.
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