Question

question 6 which of the following is the graph of a function? select all that apply

Explanation:

Step1: Recall vertical - line test

The vertical - line test states that if a vertical line drawn anywhere on the graph intersects the graph at most once, then the graph represents a function.

Step2: Check each graph

For the first graph (curved line), a vertical line will intersect it at most once, so it is a function.
For the second graph (piece - wise linear with open and closed circles), a vertical line will intersect it at most once, so it is a function.
For the third graph (sine - like wave that overlaps vertically), a vertical line can intersect it multiple times, so it is not a function.
For the fourth graph (piece - wise curve), a vertical line will intersect it at most once, so it is a function.
For the fifth graph (a single line segment with an open and a closed end), a vertical line will intersect it at most once, so it is a function.
For the sixth graph (a line with a vertical segment), a vertical line can intersect the vertical part multiple times, so it is not a function.

Answer:

The graphs that are functions are the first, second, fourth, and fifth graphs.