standard 10 homework\nscore: 3/24 answered: 3/20\nquestion 4\nevaluate the function ( f(x)=2 e^{x} ) at the…

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

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

Answer

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)