The toll T charged for driving on a certain stretch of a toll road is $1 except during rush hours (between 7 AM and 10 AM and between 4 PM and 7 PM) when the toll is $3. (a) Sketch a graph of T as a function of the time t, measured in hours past midnight. 3 10 16 19 24 7 10 16 19 24 10 16 19 24 10 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.) Classify the discontinuities as removable, jump, or infinite. removable jump infinite none - Tis continuous Discuss the significance of the discontinuities of T to someone who uses the road. O The function is continuous, so there is no significance. Because of the steady increases and decreases in the toll, drivers may want to avoid the highest rates att = 7 and t = 24 if feasible. 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.
The toll T charged for driving on a certain stretch of a toll road is $1 except during rush hours (between 7 AM and 10 AM and between 4 PM and 7 PM) when the toll is $3. (a) Sketch a graph of T as a function of the time t, measured in hours past midnight. 3 10 16 19 24 7 10 16 19 24 10 16 19 24 10 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.) Classify the discontinuities as removable, jump, or infinite. removable jump infinite none - Tis continuous Discuss the significance of the discontinuities of T to someone who uses the road. O The function is continuous, so there is no significance. Because of the steady increases and decreases in the toll, drivers may want to avoid the highest rates att = 7 and t = 24 if feasible. 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.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.CR: Chapter Review
Problem 2CC
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Transcribed Image Text:The toll T charged for driving on a certain stretch of a toll road is $1 except during rush hours (between 7 AM and 10 AM and between 4 PM and 7 PM) when the toll is $3.
(a) Sketch a graph of T as a function of the time t, measured in hours past midnight.
3
10
16
19
24
7
10
16
19
24
10
16
19
24
10
16
19
24
Transcribed Image Text:(b) Locate the discontinuities of T. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
Classify the discontinuities as removable, jump, or infinite.
removable
jump
infinite
none - Tis continuous
Discuss the significance of the discontinuities of T to someone who uses the road.
O The function is continuous, so there is no significance.
Because of the steady increases and decreases in the toll, drivers may want to avoid the highest rates att = 7 and t = 24 if feasible.
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.
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