Question

lation is a function and explain why then state
b.
function? y or n (circle)
domain:
range:

Explanation:

Step1: Use the vertical line test

A relation is a function if for every \(x -\)value there is exactly one \(y -\)value. The vertical line test: if a vertical line intersects the graph at more than one point, it is not a function. For this graph, a vertical line would intersect at only one point for each \(x\) in the domain.

Step2: Find the domain

The domain is the set of all \(x -\)values. Looking at the graph, the \(x -\)values range from \(x = 1\) to \(x=6\). So the domain is \(\{x|1\leq x\leq6\}\) or in interval notation \([1,6]\)

Step3: Find the range

The range is the set of all \(y -\)values. The lowest \(y -\)value is \(y=- 4\) and the highest \(y -\)value is \(y = 6\). So the range is \(\{y|-4\leq y\leq6\}\) or in interval notation \([-4,6]\)

Answer:

Function? \(Y\) (because it passes the vertical line test). Domain: \([1,6]\). Range: \([-4,6]\)