# Previous answers scalcet7 25009 the toll t charged

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2. 4/4 points | Previous Answers SCalcET7 2.5.009. The toll T charged for driving on a certain stretch of a toll road is \$2 except during rush hours (between 7 AM and 10 AM and between 4 PM and 7 PM) when the toll is \$4 . (a) Sketch a graph of T as a function of the time t , measured in hours past midnight. continuous from the right continuous from the left neither continuous from the right continuous from the left neither
12/14/16, 4(14 PM hw05S2.5-6 Page 3 of 19 (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. Discuss the significance of the discontinuities of T to someone who uses the road.
12/14/16, 4(14 PM hw05S2.5-6 Page 4 of 19 (b) The function T has jump discontinuities at Their significance to someone who uses the road is that, because of the sudden jumps in the toll, they may want to avoid the higher rates between and and between and if feasible. t = 7, 10, 16, and 19. t = 7 t = 10 t = 16 t = 19
12/14/16, 4(14 PM hw05S2.5-6 3. 5/5 points | Previous Answers SCalcET7 2.5.013. Use the definition of continuity and the properties of limits to show that the function is continuous at the given number a . 1. 1 2 f ( x ) = x + 2 x 5 3 = x + 2 x 5 = [ 1 + 2 ( 1) 5 ] 3 = 27 = f ( 1 lim x 1 a = 1. 1). lim x
Page 5 of 19 4. 5/5 points | Previous Answers SCalcET7 2.5.019. Consider the following. ( x ) = , a = x if x < x 2 if x Find the left-hand and right-hand limits at the given value of a . f ( x ) = , a = x if x < x 2 if x 1 e 1 1
12/14/16, 4(14 PM