Question

homework assignment 6.1 exponential functions
score: 8/12 answered: 11/12
question 12
evaluate the following function. round your answer to exactly four decimal places.
$f(x)=5e^{x + 1}$, for $x=-2$
your answer is $f(-2)=$
question help: video read written example

Explanation:

Step1: Substitute \(x = - 2\) into the function

Substitute \(x=-2\) into \(f(x)=5e^{x + 1}\), we get \(f(-2)=5e^{-2 + 1}\).

Step2: Simplify the exponent

Simplify \(-2 + 1=-1\), so \(f(-2)=5e^{-1}\).

Step3: Calculate the value of \(e^{-1}\)

Since \(e^{-1}=\frac{1}{e}\approx0.3679\) (using the value of \(e\approx2.7183\)).

Step4: Calculate the value of \(5e^{-1}\)

Multiply \(5\times0.3679 = 1.8395\)

Answer:

\(1.8395\)