During the winter, if the low temperature outside is x °C, the daily cost to heat a building can be determined using the function f(x) = 8(1.3)^-x. Find and interpret the given function values and determine an appropriate domain for the function.

Answer 1

Function values:
f(0) = 8
f(-1) = 10.6
f(-2) = 13.8

Interpretation: The function f(x) represents the daily cost to heat a building, where x is the low temperature outside in degrees Celsius. The function values indicate that the cost increases as the temperature decreases.

Domain: The domain of the function is all real numbers x ≤ 0, since the cost of heating a building cannot be negative.