Author Question: In one city, taxicabs charge passengers $2.00 for entering a cab and then $0.40 for each one-quarter ... (Read 66 times)

shofmannx20 · **on:** Jun 16, 2021

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?
◦ Function is differentiable for all x in the domain
◦ 0.25, 0.5, 0.75
◦ 0.25, 0.5, 0.75, 1.0, 1.25, 1.5.......
◦ 0.25, 0.5, 0.75, 1.0

chevyboi1976 · **Reply #1 on:** Jun 16, 2021

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