Question

standard 10 homework
score: 3/24 answered: 3/20
question 4
evaluate the function ( f(x)=2 e^{x} ) at the following values. round your answers to two decimal places.
( f(-1)= )
( f(0)= )
( f(1)= )

Explanation:

Step1: Substitute \(x = - 1\) into \(f(x)=2e^{x}\)

\(f(-1)=2e^{-1}\)
Since \(e^{-1}=\frac{1}{e}\approx0.37\), then \(f(-1)=2\times0.37 = 0.74\)

Step2: Substitute \(x = 0\) into \(f(x)=2e^{x}\)

\(f(0)=2e^{0}\)
Since \(e^{0}=1\), then \(f(0)=2\times1=2.00\)

Step3: Substitute \(x = 1\) into \(f(x)=2e^{x}\)

\(f(1)=2e^{1}\)
Since \(e^{1}\approx2.72\), then \(f(1)=2\times2.72 = 5.44\)

Answer:

\(f(-1)=0.74\)
\(f(0)=2.00\)
\(f(1)=5.44\)