In New York City, taxicabs charge passengers $2.50 for entering a cab and then $0.50 for each one-fifth of a mile (or fraction thereof) traveled. There are additional charges for slow traffic and idle...

In New York City, taxicabs charge passengers $2.50 for entering a cab and then $0.50 for each

one-fifth of a mile (or fraction thereof) traveled. There are additional charges for slow traffic

and idle times, but these are not considered in this problem. If x represents the distance traveled

in miles, then write a function C(x) that represent the cost of the taxi fare.

Sketch the graph of C using MATLAB. Using this graph of the fare function, find each of the

following limits, if it exists.

i) a) lim x→0.25−

C(x) b) lim x→0.25+

C(x) c) lim x→0.25

C(x)

ii) a) lim x→0.20−

C(x) b) lim x→0.20+

C(x) c) lim x→0.20

C(x)

iii) a) lim x→0.6−

C(x) b) lim x→0.6+

C(x) c) limx→0.6

C(x)

Sep 10, 2022

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