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14

Step-by-step Answer
PAGE: 39SET: ExercisesPROBLEM: 14
Please look in your text book for this problem Statement

The relation is 

Make a table:

x

y = x - 3

y

(x, y)

12

Y = 12 – 3 = 9

   9      

(12, 9)

15

Y = 15 – 3 = 12

12

(15, 12)

22

Y = 22 – 3 = 19

19

(22, 19)

30

Y = 30 – 3 = 27

1

(30, 27)

Express the relation as ordered pairs.

Create a coordinate system and plot the ordered pairs. Draw a line through the points

Since x can be any real number, there are an infinite number of ordered pairs that can be graphed. All of them lie on the line shown

Every real number is the x-coordinate of some point on the line.

So, the domain (x-coordinates on the line) is set of all real numbers.

Every real number is the y-coordinate of some point on the line.

So, the range (y-coordinates on the line) is also set of all real numbers.

The relation is Continuous.

Draw the vertical lines through the points. Observe that there is no vertical line

contains more than one of the points.

This graph passes the vertical line test.  For each x-value, there is exactly one

y-value, so the equation y = x -3 represents a function.

the range of the function y = x - 3

The domain (x-coordinates on the line) is set of all real numbers.

The range (y-coordinates on the line) is also set of all real numbers.

The relation is Continuous.

The equation y = x - 3 represents a function.



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