Questions: For each graph below, state whether it represents a function. Function? Function? Yes No

Solution Steps

To determine if a graph represents a function, we can use the vertical line test. If a vertical line intersects the graph at more than one point, then the graph does not represent a function. Otherwise, it does represent a function.

The vertical line test is a method used to determine if a graph represents a function. A graph represents a function if and only if no vertical line intersects the graph at more than one point. This means that for each \( x \)-value, there should be exactly one corresponding \( y \)-value.

We are given the points \((1, 2)\), \((2, 3)\), and \((3, 4)\). We need to check if any \( x \)-value is repeated among these points. If an \( x \)-value is repeated, it would mean that a vertical line at that \( x \)-value intersects the graph at more than one point, indicating that the graph is not a function.

The \( x \)-values from the given points are \( 1 \), \( 2 \), and \( 3 \). None of these \( x \)-values are repeated, which means that no vertical line would intersect the graph at more than one point.

Final Answer