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The relation is $\"\"$

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

\ x \	\ *y = 7x-6* \	\ \
\ -1 \	\ -13 \	\ (Substitute x = –1 , y=7(–1)-6 = –13) \
\ 0 \	\ -6 \	\ (Substitute x=0 , y= 7(0) –6 = –6) \
\ 1 \	\ 1 \	\ (Substitute x=1 , y= 7(1) –6 = 1) \
\ 2 \	\ 8 \	\ (Substitute x=2 , y= 7(2) –6 = 8) \

Express the relation as ordered pairs. $\"\"$ $\"\"$

Create a coordinate system and plot the ordered pairs.

Draw a line through the points.

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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.

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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 = 7x - 6 represents a function.

$\"\"$

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 = 7x - 6 represents a function.