Yes, you can consider it a relation between the points on the x-axis, and the points on the y-axis. In fact, ANY subset of R squared (in other words, any subset of the points on a plane), including the empty set, sets that contain single points, and larger sets, can be considered a relation in R squared (i.e., two sets of real numbers).
Yes it is, but it is not a function.
Yes it is, but it is not a function.
A vertical line. Remember that one test to see if a relation is a function is the vertical line test. A vertical line would fail that of course.
a vertical line
True
True.
a line that goes up and down
Vertical
A relation is an expression that is not a function. A function is defined as only having one domain per range, meaning that when graphed, a function will have no two points on the same vertical line. If your expression is graphed and two points do appear on the same vertical line, it is a relation, not a function.
False
One way is to try the vertical line test on a graph!
Absolute value |-5| = 5
Three vertical lines, |, with a diagonal line across them.