12.Determine analytically, showing all work, all values of x (if any) at which the the func on f(x)

1. Find analytically the equation of the line that is tangent to g(x)=sqrt（-x-3 ）and parallel to the line y=-1/2x+2. Use the limit definition of the derivative and find the point of tangency by hand, showing all work. Verify your results by sketching the tangent line

2.if lim x→5 f (x) = 3 and lim x→5 (f(x)-f(5)) /(x -5) = 4 then f (5)
a.equals 3
b.equals 4
c. cannot be determined

3.12.Determine analytically, showing all work, all values of x (if any) at which the the
func
on f(x) = 4√x − x has:
a. A horizontal tangent line. b. A tangent line slope of -1⁄2.