evaluate y = e^x + 1 for the following values of x. round to the nearest thousandth. x = -2, y ≈ x = 1, y ≈…

Explanation:

Step1: Substitute $x = - 2$

$y=e^{-2}+1=\frac{1}{e^{2}}+1$. Since $e\approx2.71828$, then $e^{2}\approx7.38906$, and $\frac{1}{e^{2}}\approx0.13534$, so $y\approx0.13534 + 1=1.13534\approx1.135$.

Step2: Substitute $x = 1$

$y=e^{1}+1$. Since $e\approx2.71828$, then $y\approx2.71828+1 = 3.71828\approx3.718$.

Step3: Substitute $x = 2$

$y=e^{2}+1$. Since $e^{2}\approx7.38906$, then $y\approx7.38906 + 1=8.38906\approx8.389$.

Answer:

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