4x-2y=8 ==> y=2x-4 (to better show you what I mean)
2 lines are parallel if they have the same slope (m the coefficient of x).
So y=mx + b // y =2x-4 means m=2 & y=mx + b, becomes y=2x + b.
Moreover they are telling us that this function passes by (-2,1), where -2 represents x & 1, represents y. To calculate b , replace x & y by their values:
y=2x+b ==> 1 = 2(- 2) + b==> 1 = -4 + b ==> b= 5. Finally the equation is
y=-2x+5
H'(x) = 2f'(x)
h'(1) = 2*f'(1) = 2*4
h'(1) = 8
Yes, you are correct, it is A!
Recall the pencil line test, which is where you go across the x axis (the graph horizontally) and see if the pencil touches any two points at the same time. If it does, then the graph is not a function.
Point being: since question a has a bunch of y values on top of one x value, the pencil would inevitably touch multiple at the same time, hence why it is easy to tell that it is not a function! Hope this helps :)
