evaluate the function below. round to four decimal places, if necessary. f(x)=-2(e)^(x - 1), for f(-1) f(-1)=

Answer:

$-0.2707$

Explanation:

Step1: Substitute $x = - 1$

$f(-1)=-2(e)^{-1 - 1}$

Step2: Simplify the exponent

$f(-1)=-2(e)^{-2}$

Step3: Use negative - exponent rule

$f(-1)=-\frac{2}{e^{2}}$

Step4: Calculate the value

Since $e\approx2.7183$, then $e^{2}\approx7.3891$, and $f(-1)=-\frac{2}{7.3891}\approx - 0.2707$