Use the given graph to determine the limit, if it exists. find limit as x approaches two from the left of f of x. and limit as x approaches two from the right of f of x.. a.) does not exist; does not exist b.)1; 1 ; 3 d.)3; -2

A.) Does not exist.

Step-by-step explanation:

We have been given a graph. We are asked to find the limit of our given function as x approaches 2.

Upon looking at our given graph, we can see that limit of our function as x approaches 2 from right side is . .

We can also see that limit of our function as x approaches 2 from left side is . .

Since limit of both sides is not equal, therefore, the limit of function as x approaches 2 does not exist and option A is the correct choice.

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: