QUESTION IMAGE
Question
- use the graph to find n(-1) and n(-1).
Step1: Find $n(-1)$
Locate $x = - 1$ on the $x$-axis. Then find the corresponding $y$-value on the graph of $y=n(x)$. We see that when $x=-1$, $y = - 4$. So $n(-1)=-4$.
Step2: Find $n'(-1)$
$n'(-1)$ is the slope of the tangent line to the graph of $y = n(x)$ at $x=-1$. The tangent - line to the graph of $y=n(x)$ at $x = - 1$ is a horizontal line. The slope of a horizontal line is $0$. So $n'(-1)=0$.
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$n(-1)=-4$, $n'(-1)=0$