Find the function value.
Let f(x) = e3x. Find f(0.06), rounded to four decimal places.
I'm assuming you mean e^(3x)?
Use a calculator.
To find the function value, we substitute the given value into the function equation and evaluate it.
The given function is f(x) = e^(3x), where e is Euler's number (approximately 2.71828).
To find f(0.06), we substitute x = 0.06 into the function equation:
f(0.06) = e^(3 * 0.06)
Now, we need to evaluate this expression.
1. First, calculate 3 * 0.06:
3 * 0.06 = 0.18
2. Next, raise e to the power of 0.18:
e^0.18 ≈ 1.197284
Rounding this value to four decimal places, we get:
f(0.06) ≈ 1.1973
Therefore, f(0.06) rounded to four decimal places is approximately 1.1973.