Which statement is correct about relations and functions?
2 answers:
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.
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we can use properties of functions to find this out
for
if b is even, then the ends of the function go in the same directions (both up or both down)
if b is odd, then the ends of the function go in different directions (one up and one down)
if a is positive and b is even, then both ends point up
if a is positve and b is odd, then it goes from bottom left to top right
if a is negative and b is even, then both ends point down
if a is negative and b is odd, then it goes from top left to bottom right
given
a=5>0
b=4 which is even
so it has both ends pointing up
bottom right graph is yo answer
Answer:
8) -8, -9
9) 4,
Step-by-step explanation:
8) x² + 12x + 27
Solutions of a polynomial means the values of such that the polynomial becomes zero.
.
We use the following formula to determine the solutions of a quadratic equation of the form:
In this equation,
Substituting in the formula, we have:
Taking 2 common outside we get:
Therefore, we get two solutions viz, x = -3, -9.
9) 2x² - 9x + 4 = y
X- intercepts of a polynomial means the value of x such that y = 0. It means the roots of the polynomial.
Solving the equation using the formula above, we get:
The values of x = 4, .
Hence, the answer.