The function f is defined by f(x)=2 ex-3 for x 0. Sketch its graph, find its range and intercepts, a

Question

The function f is defined by f(x)=2 ex-3 for x 0. Sketch its graph, find its range and intercepts, and explain why it does not approach y=-3 within this domain.

Accepted Answer

Range $[-1,\infty)$; $(0,-1)$, $\left(\ln\!\left(\dfrac32\right),0\right)$. No approach to $y=-3$ on $x\ge0$.

An exponential curve on a restricted domain

An exponential curve on a restricted domain

Solution:

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