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

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 $x = - 2$

We know that $y=e^{x}+1$. 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 $y\approx0.135 + 1=1.135$.

Step2: Substitute $x = 1$

Substitute $x = 1$ into $y=e^{x}+1$. We know that $e\approx2.71828$, so $y=e^{1}+1\approx2.718+1 = 3.718$.

Step3: Substitute $x = 2$

Substitute $x = 2$ into $y=e^{x}+1$. Since $e^{2}\approx7.389056$, then $y=e^{2}+1\approx7.389+1=8.389$.

Answer:

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