Linear approximation practice

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Find the linear approximation to the function \[ h( x ) = x^{3} - x \] around $x= 2$.
$L_{ 2 }( x ) =$
Let $h(x)$ be a differentiable function. Given just the information that $h(-9.2) = 5$ and $h'(-9.2) = -1.3$, determine a linear approximation $L(x)$ for $h(x)$ that is valid near $x=-9.2$.
$L(x) = $

Using the above linear approximation, estimate the value of $h(-9.16)$:
Let $f(x) = 1.7 e^{- 0.8 x^{2} - 0.3 x + 2}$. Determine a linear approximation $L(x)$ for $f(x)$ that is valid near $x=-1$. (In all answers, if you round numbers, keep at least four digits.)
$L(x) = $

Using the above linear approximation, estimate the value of $f(-0.97)$:

What is the actual value of $f(-0.97)$? $f(-0.97) = $