-- - 15, I< -5 f(x) = { Ma + B, 2+7, - 5 < * < 3 x > 3 The values of M and B that make f(æ) continuous are: 1. M = 2. B = In your written work, justify why f(z) is continuous with your chosen values of M and B. Be sure to use one-sided limits and the definition of continuity in your justification.
-- - 15, I< -5 f(x) = { Ma + B, 2+7, - 5 < * < 3 x > 3 The values of M and B that make f(æ) continuous are: 1. M = 2. B = In your written work, justify why f(z) is continuous with your chosen values of M and B. Be sure to use one-sided limits and the definition of continuity in your justification.
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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![### Continuity Problem
Determine the values of \( M \) and \( B \) that make the function \( f(x) \) continuous:
\[
f(x) =
\begin{cases}
-\frac{2}{5}x - 15, & x \leq -5 \\
Mx + B, & -5 < x \leq 3 \\
4x + 7, & x > 3
\end{cases}
\]
**Values to Determine:**
1. \( M = \) [Input Required]
2. \( B = \) [Input Required]
**Instruction:**
In your written work, justify why \( f(x) \) is continuous with your chosen values of \( M \) and \( B \). Be sure to use one-sided limits and the definition of continuity in your justification.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff8256360-52ce-4e6c-9144-e8e1be652f97%2Fbc4662b8-5781-474e-96c6-c7df73cc976a%2Fjfdgy6o_processed.png&w=3840&q=75)
Transcribed Image Text:### Continuity Problem
Determine the values of \( M \) and \( B \) that make the function \( f(x) \) continuous:
\[
f(x) =
\begin{cases}
-\frac{2}{5}x - 15, & x \leq -5 \\
Mx + B, & -5 < x \leq 3 \\
4x + 7, & x > 3
\end{cases}
\]
**Values to Determine:**
1. \( M = \) [Input Required]
2. \( B = \) [Input Required]
**Instruction:**
In your written work, justify why \( f(x) \) is continuous with your chosen values of \( M \) and \( B \). Be sure to use one-sided limits and the definition of continuity in your justification.
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