Question

Use the given set of ordered pairs to complete the table of values then draw its graph to illustrate the mapping diagram and to generate its rule. The first two values are done for you

need answer ASAP​

Answer 1

Answer:

Use the given set of ordered pairs to complete the table of values then draw its graph to illustrate the mapping diagram and to generate its rule. The first two values are done for you

need answer ASAP

Answer 2

The rule for the given set of ordered pairs is y = x + 2. The complete table is given in the solution, and the mapping and graph are shown in separate figures.

Given,

Refer to figure (in question).

Set of ordered pairs:

{(0, 2), (1, 3), (2, 4), (3, 5), (4, 6)}.

To find,

1. Complete the table of values.

2. Draw the graph.

3. Illustrate mapping.

4. Generate its rule.

Solution,

It can be seen that here, a set of ordered pairs is given, which is

{(0, 2), (1, 3), (2, 4), (3, 5), (4, 6)}.

Observing carefully, we can see that for the given set, the value of the ordinate (y-coordinate) is 2 more than the value of the abscissa (x-coordinate).

• So, the rule for the given set can be written as follows.

Rule:

y = x + 2.

• The complete table of values is given below.

$x \hspace{10} 0 \hspace{10} 1 \hspace{10} 2 \hspace{10} 3 \hspace{10} 4\\y \hspace{10} 2 \hspace{10} 3 \hspace{10} 4 \hspace{10} 5 \hspace{10} 6$

Further, mapping can be defined as a kind of relation between the two sets from one to the other.

• The mapping for the given set is shown in the figure.

• The graph for the given set and rule is also shown in another figure.

Therefore, the rule for the given set of ordered pairs is y = x + 2. The complete table is given in the solution, and the mapping and graph are shown in the figures.

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