Question

For the following, state the domain, range, and whether the relation is a function.

(a) {(-5, 1), (2, 3), (3, 3), (4, 5)}
DOMAIN:
RANGE:
FUNCTION:

(b)



DOMAIN:
RANGE:
FUNCTION:
Answer:

Answer 1

(a) {(-5, 1), (2, 3), (3, 3), (4, 5)}

DOMAIN:{-5,2,3,4}

RANGE:{1,3,5}

FUNCTION:Yes

(b)DOMAIN:{-2,0,3,4,6}

RANGE:{-3,-2,0,1,2,4}

FUNCTION:No

Explanation:

(a) The given relation is {(-5, 1), (2, 3), (3, 3), (4, 5)}

We examine the first coordinates, to see if one of repeats.

Since none of the first coordinates repeated, the relation is a function.

Domain: The refers to the set of all the first coordinates.

Domain:{-5,2,3,4}

The range refers to the set of all the second coordinates.

Range: {1,3,5}

b) The given relation is the mapping diagram. We can see from the diagram that, there is one value in the domain, which is 3, mapping on to two different values in the range. Therefore this relation is not a function.

The domain is {-2,0,3,4,6}

The range is {-3,-2,0,1,2,4}