evaluate $y = e^{x}+1$ for the following values of $x$. round to the nearest thousandth.\n$x =…

evaluate $y = e^{x}+1$ for the following values of $x$. round to the nearest thousandth.\n$x = - 2,y\\approx\\square$ $x = 1,y\\approx\\square$ $x = 2,y\\approx\\square$

evaluate $y = e^{x}+1$ for the following values of $x$. round to the nearest thousandth.\n$x = - 2,y\\approx\\square$ $x = 1,y\\approx\\square$ $x = 2,y\\approx\\square$

Answer

Explanation:

Step1: Substitute $x = - 2$ into the equation

$y=e^{-2}+1$. Since $e^{-2}=\frac{1}{e^{2}}\approx\frac{1}{7.389056}\approx0.135$, then $y = 0.135 + 1=1.135$.

Step2: Substitute $x = 1$ into the equation

$y=e^{1}+1$. Since $e\approx2.71828$, then $y=2.71828 + 1\approx3.718$.

Step3: Substitute $x = 2$ into the equation

$y=e^{2}+1$. Since $e^{2}\approx7.389056$, then $y=7.389056+1\approx8.389$.

Answer:

$x=-2,y\approx1.135$ $x = 1,y\approx3.718$ $x = 2,y\approx8.389$