Final answer:
To evaluate f(x)=3^(1-x) at x=2.8, substitute 2.8 into the function, calculate the exponent, and then raise 3 to this power. The calculation can be done using a calculator and may need to use special keys for exponentiation. The result can be expressed in proper scientific notation if necessary.
Step-by-step explanation:
To evaluate the exponential function f(x)=3(1-x) at x=2.8, we need to substitute 2.8 into the function and then calculate the value. First, we calculate the exponent:
1 - 2.8 = -1.8
Next, we raise 3 to the power of -1.8. Most calculators will allow you to enter this calculation directly. If unsure how to do this, consult your calculator's manual or help function for the correct sequence of button presses. When entering the calculation, you may need to use 'Shift' or a second function key to access the exponential function.
Upon computing, the calculator will display:
f(2.8) = 3(-1.8)
To express the final answer in proper scientific notation when necessary, we may arrive at a result like:
f(2.8) = 1.5 × 10k, where k is the exponent that puts the number in scientific notation standards.