Q7. - Algebra 1

Question

Determine whether each relation is a function. Explain.

Step-by-Step Solution

Answer

The given relation is a function.

Step 1. Domain and range of a function.

In a function domain is the set of input (x) values and the range is the set of output (y) values.

Step 2. definition of the function.

A relation is said to be a function of each element in the domain of the relationship that has a unique value in the range. That is, no element in the domain has more than one value in the range.

Step 3. Alternative method.

By observing the above graph, at each and every input we have an only single output.

Draw a vertical line anywhere on to graph, then the line intersects at only one point.

So, the vertical line test pass.

The given relation is a function.