Which mapping diagrams represent functions (choose all that apply)
which mapping diagrams represent relations that are not functions (choose all that apply)
in mapping diagram d what is the domain
in mapping diagram d what is the range

A) function

B) not function

C) not function

D) function

D has domain {1,3,5} and range {2,4,6}.

Step-by-step explanation:

So for a mapping diagram to show a function there can only be at most one line segment coming from a number in the first circle.

So let's look at the problems:

A) There is one segment coming from 2.  (2 to 1)

    There is one segment coming from 4.  (4 to 3)

    There is one segment coming from 6.   (6 ro 5).

So this is a function.

The domain is the first numbers: {2,4,6}.

The range is the second numbers: {1,3,5}.

B)  There is two segments coming from 1. So it is over with, this is not a function.

The domain is the first numbers: {0,1,4}.

The range is the second numbers: {-2,-1,0,1,2}.

C)  There is two segments coming from a. So it is over with, this is not a function.

The domain is the first numbers: {a,b,c}.

The range is the second numbers: {4,5,6,7}.

D) There is one segment coming from each 1, 3, and 5.  So this is a function.

The domain is the first numbers: {1,3,5}.

The range is the second numbers: {2,4,6}.

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

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step-by-step explanation: