Solve the problem.In one city, taxicabs charge passengers $2.00 for entering a cab and then $0.40 for each one-quarter of a mile (or fraction thereof) that the cab travels. (There are additional charges for slow traffic and idle times, but these are not considered here). If x is the distance traveled in miles, then C(x) is the cost of the taxi fare, where C(x) = $2.00, if x = 0, C(x) = $2.40, if 0 < x < 0.25, C(x) = $2.80, if 0.25 ? x < 0.5, C(x) = $3.20, if 0.5 ? x < 0.75, and so on. The graph of C is shown below.
At what values is the function C not differentiable?
A. 0.25, 0.5, 0.75, 1.0, 1.25, 1.5.......
B. Function is differentiable for all x in the domain
C. 0.25, 0.5, 0.75
D. 0.25, 0.5, 0.75, 1.0
Answer: A
Mathematics
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