5. A water utilitcy company charges based on consumption. The graph below shows the monthly cost C (in dollars) for consuming x thousands of gallons of water. The company states that there is both a minimum usage fee as well as an excessive usage fee. -80- 70 60- -50 40 30 20 10 +이 (a) At what x-values is C(x) not continuous? At what values is C(x) not differentiable? (b) What is C'(8)? Report your answer in the appropriate units. Hint. Reread Example 57 and watch the corresponding video (third video of Sec 2.4)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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5. A water utilitcy company charges based on consumption. The graph below shows the
monthly cost C (in dollars) for consuming x thousands of gallons of water. The company
states that there is both a minimum usage fee as well as an excessive usage fee.
-80-
70
60-
-50
40
30
20
10
+이
(a) At what x-values is C(x) not continuous? At what values is C(x) not differentiable?
(b) What is C'(8)? Report your answer in the appropriate units. Hint. Reread Example
57 and watch the corresponding video (third video of Sec 2.4)
Transcribed Image Text:5. A water utilitcy company charges based on consumption. The graph below shows the monthly cost C (in dollars) for consuming x thousands of gallons of water. The company states that there is both a minimum usage fee as well as an excessive usage fee. -80- 70 60- -50 40 30 20 10 +이 (a) At what x-values is C(x) not continuous? At what values is C(x) not differentiable? (b) What is C'(8)? Report your answer in the appropriate units. Hint. Reread Example 57 and watch the corresponding video (third video of Sec 2.4)
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