Help drawing the function $\frac{100}{1+20e^{-0.23t}}$

Question

Can somebody explain this one to me?

Draw the function $$p(t)=\frac{100}{1+20e^{-0.23t}}$$ for $t\in[-20,40]$.

Answer 1

This is not a differential equation problem. The problem asks to draw the function

$$p(t) = \frac{100}{1 + 20e^{-0.23t}}$$

for $t \in [-20,40]$. You can use Wolfram to give you an hint for what you wanna find and use calculus tools. Find the first and second derivatives, find were it is zero, find how this function behaves in that range. Is it crescent? Is it decreasing?