Definition 1: A relation is any subset of a Cartesian product. For instance, a subset of
, called a "binary relation from A to B," is a collection of ordered pairs (a,b) with first components from A and second components from B, and, in particular, a subset of
is called a "relation on A."
Definition 2: A function is a relation that associates each element x of a set X to a single element y of another set Y (possibly the same set). A function is uniquely represented by its graph which is the set of all ordered pairs (x, f (x)).
From these definitions you can see that every function is a relation from X to Y, but not via versa (because you can consider relation
- here for one x exist two y).
Answer: Correct choice is B.
<h2>
Answer:</h2>
is the Square Root Function. These are the characteristics of the graph of the square root function:
-
The domain of the function is the set of all non negative real numbers.
-
The range of the function is the set of all non negative real numbers.
-
The graph has an intercept at
.
-
The graph is increasing on the interval
.
Since the function
, then this stands for the form:
. This form tells us that the graph of f has been shifted c units downward where the value c = 2 in this problem. The graphs of both functions are shown below. The red one is
while the blue one is 
Answer: the answer is B
Step-by-step explanation: