Piecewise Function Evaluation in Context

Question

The traffic flow in a city is modeled by the piecewise function $$f(t)$$, where $$t$$ is the number of hours after 6 AM:

$$f(t)= \begin{cases} 2t+5 & 	ext{for } t < 4 \ -t+15 & 	ext{for } t \geq 4 \end{cases}$$

What is the value of $$f(4)$$ and what does it represent in this context?

Accepted Answer

$$11$$, indicating the traffic flow at 10 AM during the transition to off-peak hours.

Answer

$$13$$, representing a sudden change in traffic flow.

Answer

$$7$$, a value midway between the two function definitions.

Answer

$$9$$, which is the average of the two function pieces at the transition.

Rank	User	Correct Count	Attempt Count	Total Time	Score
#1	giaawarikoo	1	1	0m 07s	93
#2	danurizayo	1	1	0m 08s	92
#3	meenakshiswapna2296	1	1	0m 19s	81
#4	ethan185183	1	1	0m 32s	68
#5	knowme.akshaj	1	1	0m 38s	62
#6	nailah.adilpottayil	1	1	0m 51s	49
#7	andrew.hsia9	1	1	1m 11s	29
#8	khaleelsaada2008	1	1	2m 08s	-28
#9	yaraasoom	1	1	2m 15s	-35
#10	aniyahltlou	1	1	3m 13s	-93

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