Suppose it is known that for a given differentiable function $y = f(x)$, its tangent line approximation at the point $x = 1$ is

$\displaystyle L(x) = 8\!\left(x-1\right)+7$.

(a) Compute $L(1)$.

$L(1)$ =

(b) What must be the value of $f(1)$?

$f(1) =$

(c) What must be the value of $f'(1)$?

$f'(1)$ =

(d) Use the tangent line approximation to estimate the value of $f(1.2)$.

$f(1.2) \approx$

Hint: