During the winter, if the low temperature outside is xx \deg C, the daily cost to heat a building can be determined using the function f, of, x, equals, 9, left parenthesis, 1, point, 0, 5, right parenthesis, start superscript, minus, x, end superscript, .f(x)=9(1.05)
−x
. Find and interpret the given function values and determine an appropriate domain for the function.
Round all function values to the nearest hundredth.
Answer
Attempt 1 out of 2
f, of, minus, 8, equalsf(−8)= 13.25, meaning when the low temperature outside is −8 \deg C, it would cost $13.25 to heat the building. This interpretation in the context of the problem.
f, of, 10, equalsf(10)= 5.52, meaning when the low temperature outside is 10 \deg C, it would cost $5.52 to heat the building. This interpretation in the context of the problem.
f, of, 7, point, 5, equalsf(7.5)= 6.45, meaning when the low temperature outside is 7.5 \deg C, it would cost $6.45 to heat the building. This interpretation in the context of the problem.
Based on the observations above, it is clear that an appropriate domain for the function is .