$\"\"$

The relation is $\"\"$ . \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\
x
\ \
y = 7x - 6
\ \
y
\ \
(x, y)
\
\
-1
\ \
Y = 7(-1) - 6
\ \
-13
\ \
(-1, -13)
\
\
0
\ \
Y = 7(0) - 6
\ \
-6
\ \
(0, -6)
\
\
1
\ \
Y = 7(1) - 6
\ \
1
\ \
(1, 1)
\
\
2
\ \
Y = 7(2) - 6
\ \
8
\ \
(2, 8)
\
\

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 = 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.

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