Answer:
- least: 6.5 hours
- most: 12.5 hours
Explanation:
You want to know the least and most number of daylight hours if the function f(t) = 3·sin(35t -1.34) +9.5 gives the number of daylight hours.
Sine
The sine function has a minimum of -1, and a maximum of +1. The value of f(t) will be minimum or maximum at these extreme values of the sine function.
minimum: f(t) = 3(-1) +9.5 = 6.5
maximum: f(t) = 3(+1) +9.5 = 12.5
The least number of hours of daylight is 6.5 in Cleveland; the greatest number is 12.5.
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