Question

Which Relations are functions?

Answer 1

The relation which are function are (1) and (2).

What is function?

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

To test the whether the given relation is function or not we can

Use the vertical line test to determine whether or not a graph represents a function.

If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function.

If the vertical line touches the graph at more than one point, then the graph is not a function.

From above,

Graph (1), (2) passes the vertical line test and are the function. But the graph (3) and (4) is not a function.

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