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The toll T charged for driving on a certain stretch of a toll road is $4 except during rush hours (between 7 AM and 10 AM and between 4 PM and 7 PM) when the toll is $6. (a) Sketch a graph of T as a function of the time t, measured in hours past midnight. T T O t= O T 6 7 10 7 10 16 19 16 19 24 Classify the discontinuities as removable, jump, or infinite. O removable O jump O infinite O none-T is continuous 24 O 6 T 6 7 10 7 10 16 19 16. 19 24 (b) Locate the discontinuities of T. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) 24 t t Discuss the significance of the discontinuities of T to someone who uses the road. O The function is continuous, so there is no significance. O Because of the sudden jumps in the toll, drivers may want to avoid the higher rates between t = 7 and t = 10 and between t = 16 and t = 19 if feasible. O Because of the sudden jumps in the toll, drivers may want to avoid the higher rates between t= 0 and t = 7, between t= 10 and t = 16, and between t= 19 and t = 24 if feasible. O Because of the steady increases and decreases in the toll, drivers may want to avoid the highest rates at t = 7 and t = 24 if feasible.

The toll T charged for driving on a certain stretch of a toll road is $4 except during rush hours (between 7 AM and 10 AM and between 4 PM and 7 PM) when the toll is $6. (a) Sketch a graph of T as a function of the time t, measured in hours past midnight. T T O t= O T 6 7 10 7 10 16 19 16 19 24 Classify the discontinuities as removable, jump, or infinite. O removable O jump O infinite O none-T is continuous 24 O 6 T 6 7 10 7 10 16 19 16. 19 24 (b) Locate the discontinuities of T. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) 24 t t Discuss the significance of the discontinuities of T to someone who uses the road. O The function is continuous, so there is no significance. O Because of the sudden jumps in the toll, drivers may want to avoid the higher rates between t = 7 and t = 10 and between t = 16 and t = 19 if feasible. O Because of the sudden jumps in the toll, drivers may want to avoid the higher rates between t= 0 and t = 7, between t= 10 and t = 16, and between t= 19 and t = 24 if feasible. O Because of the steady increases and decreases in the toll, drivers may want to avoid the highest rates at t = 7 and t = 24 if feasible.

Calculus: Early Transcendentals
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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The toll T charged for driving on a certain stretch of a toll road is $4 except during rush hours (between 7 AM and 10 AM and between 4 PM and 7 PM) when the toll is $6. (a) Sketch a graph of T as a function of the time t, measured in hours past midnight. T T O t = 4 O T 7 10 6 7 16 19 10 wwwm 16 19 24 Classify the discontinuities as removable, jump, or infinite. O removable O jump O infinite O none-T is continuous t 24 O t 6 O T 7 10 Discuss the significance of the discontinuities of T to someone who uses the road. O The function is continuous, so there is no significance. 16 19 7 10 16 19 (b) Locate the discontinuities of T. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) 24 24 t O Because of the sudden jumps in the toll, drivers may want to avoid the higher rates between t = 7 and t = 10 and between t = 16 and t = 19 if feasible. O Because of the sudden jumps in the toll, drivers may want to avoid the higher rates between t = 0 and t = 7, between t = 10 and t = 16, and between t = 19 and t = 24 if feasible. O Because of the steady increases and decreases in the toll, drivers may want to avoid the highest rates at t = 7 and t = 24 if feasible.
Transcribed Image Text:The toll T charged for driving on a certain stretch of a toll road is $4 except during rush hours (between 7 AM and 10 AM and between 4 PM and 7 PM) when the toll is $6. (a) Sketch a graph of T as a function of the time t, measured in hours past midnight. T T O t = 4 O T 7 10 6 7 16 19 10 wwwm 16 19 24 Classify the discontinuities as removable, jump, or infinite. O removable O jump O infinite O none-T is continuous t 24 O t 6 O T 7 10 Discuss the significance of the discontinuities of T to someone who uses the road. O The function is continuous, so there is no significance. 16 19 7 10 16 19 (b) Locate the discontinuities of T. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) 24 24 t O Because of the sudden jumps in the toll, drivers may want to avoid the higher rates between t = 7 and t = 10 and between t = 16 and t = 19 if feasible. O Because of the sudden jumps in the toll, drivers may want to avoid the higher rates between t = 0 and t = 7, between t = 10 and t = 16, and between t = 19 and t = 24 if feasible. O Because of the steady increases and decreases in the toll, drivers may want to avoid the highest rates at t = 7 and t = 24 if feasible.
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