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

The equation is not clear whether it is $y= e^{x+1}$ or $y= e^{x} +1$

for $y= e^{x+1}$

$x=-2$ ⇒ $e^{-2+1}=0.37$
$x=1$ ⇒ $e^{-1+1} = e^{0}=1$
$e^{2+1}= e^{3}=20.10$

for $y= e^{x}+1$

$x=-2$⇒$y=e^{-2}+1 =1.14$
$x=1$⇒$y= e^{1} +1=3.72$
$x=2$⇒$y= e^{2}+1=8.39$

Hint: Most scientific calculators have the template of $e^{( )}$ which you can use to work out the value of y

Answer 2

1.135, 3.718, 8.389

Graph: B