Question

Evaluate y = ex + 1 for the following values of x. Round to the nearest thousandth.

x = −2, y ≈ x = 1, y ≈ x = 2, y ≈

Answer 1

1.135,

3.718,

and 8.389

Explanation:

Answer 2

`x=-2,\;y\approx\boxed{1.135}`

`x=1,\;y\approx\boxed{3.178}`

`x=2,\;y\approx\boxed{8.389}`

Explanation:

Euler's number, denoted as the letter "e", is a mathematical constant approximately equal to 2.7182818 ( 7 d.p.).

To evaluate
`y=e^x+1` for the given values of x, substitute the value of x into the equation and evaluate using a calculator, rounding the final answer to 3 decimal places (nearest thousandth).

`\begin{aligned}x = -2\implies y&=e^(-2)+1\\y&=0.135335...+1\\y&=1.135335...\\y&=1.135\end{aligned}`

`\begin{aligned}x =1\implies y&=e^1+1\\y&=2.7182818...+1\\y&=3.7182818...\\y&=3.718\end{aligned}`

`\begin{aligned}x = 2\implies y&=e^(2)+1\\y&=7.389056...+1\\y&=8.389056...\\y&=8.389\end{aligned}`