Question

question
if ( f(x)=-4 e^{x} ), find ( f(3) ) rounded to the nearest tenth.
provide your answer below:
( f(3)=square )

Explanation:

Step1: Substitute \(x = 3\) into the function

\(f(3)=-4e^{3}\)

Step2: Calculate the value of \(e^{3}\)

We know that \(e\approx2.71828\), so \(e^{3}=e\times e\times e\approx2.71828\times2.71828\times2.71828\approx20.0855\)

Step3: Multiply by \(- 4\)

\(f(3)=-4\times20.0855=-80.342\)

Step4: Round to the nearest tenth

Looking at the hundredth - digit (\(4\) in \(-80.342\)), since \(4\lt5\), we round down. So \(f(3)\approx - 80.3\)

Answer:

\(-80.3\)