[填空题]
A function, f , is give9rw743f xoz rpwd5:.f (qifqln./ vyhjub 78j(l*s g4 vooitz0 by
$f(x)=2 \cdot 3^{-x+1}+x-3 $.
1. Calculate f(1) = .
2. Use your graphic display calculator to solve f(x)=0 . x= or x= .
3. Sketch the graph of y=f(x) for $0 \leq x \leq 5$ and $-1 \leq y \leq 4$ . Clearly show the coordinates of the x and y intercepts. Use a scale of $1 \mathrm{~cm}$ to represent 1 unit on both the horizontal and vertical axes.
The function f is the derivative of the function g . It is known that g(0)=2 .
4. 1. Calculate $g^{\prime}(0)$ = .
2. Find the equation of the normal of the graph of y=g(x) at the point (0,2) . Give your answer in the form a y+b x+c=0 .
we get ax+by-c=0; a= ,b= ,c= .
