# Math

posted by .

Select the relation that is a function.
a.
{(21, 11), (21, 10), (21, 9), (21, 8)}
c.
{(-6, -5), (3, 2), (10, 8), (3, 3)}
b.
{(-2, -1),(5, -1), (16, 3), (-3, -9)}
d.
{(5, 10), (-3, 10), (-3, -10), (4, 7)}

• Math -

hint: each element must have a single image.

• Math -

• Math -

cause i don't understand what you saying

• Math -

Note that in (a) (21,11) and (21,10) indicate that f(21) = 11 and f(21) = 10.
That can't be so, for a function.

In (c), we have f(3) = 2 and f(3) = 3

In (b) there is only one mapping for each element.

In (d) we have f(-3)=10 and f(-3)=-10.

each element can have only one image under the mapping. That is, the relation maps the first value to the second value in each pair.

A value can only be mapped to a single image. Better study the chapter on relations, mapping, images, etc. and what makes a function more restrictive than just a general relation.

• Math -

so b?

• Math -

That'd be my guess, unless you have b and c switched. They are listed out of order.

## Similar Questions

1. ### math

find the domain and range of the relation and state whether or not the relation is a function. {(1,3), 2,3), (3,3), (4,3)}
2. ### database

Prove that for any relation R(X,Y) Select Select(R (X=x0) (Y=y0))) = Select (R(X=x0) and Y=y0)) What is an equivalent form of (Select(R (X=x0) or (Y=y0)))?
3. ### Math

Find the domain and range of the relation, and state whether or not the relation is a function (1,3)(2,3)(3,3)(4,3)
4. ### Math

Which of the following relations has this characteristic: The relation is a function containing two ordered pairs. Reversing the components in each ordered pair results in a relation that is not a function. A) {(0, 2), (0, 3)} B) {(2, …
5. ### Math

Find the domain and range of the relation, and state whether or not the relation is a function. {(3, 9), (3, 10), (3, 11), (3, 12)}
6. ### algebra

Determine whether the following relation represents a function. If the relation is a function then state domain and range?
7. ### Algebra 1 (Reiny or Kuai)

Give the domain and range values of each relation. Tell whether the relation is a function. The x-values are -3, -2, -1, -2. The y-values are 9, 6, 3, 0. A: D: {-3, -2, -2}; R: {9, 6, 3, 0} No, this relation is not a function?
8. ### Need help asap

I need help! Reasoning: Can a function have an infinite number of values in its domain and only a finite number of values in its range?
9. ### Algebra

What is the domain of this relation? Is it a function?
10. ### math

Which of the following best describes the equation below?

More Similar Questions