Question

1. determine if each graph represents a function or not.

a.
b.
c.
d.
e.
f.
and range

Explanation:

To determine if a graph represents a function, we use the Vertical Line Test: A graph represents a function if no vertical line intersects the graph more than once.

Part (a)

Step 1: Apply the Vertical Line Test

Draw (or imagine) a vertical line anywhere on the graph. For this graph, any vertical line will intersect the graph at most once.

Answer:

Function

Part (b)

Step 1: Apply the Vertical Line Test

Imagine a vertical line. For this graph, a vertical line (e.g., \( x = 2 \)) will intersect the graph at two points (one above, one below the \( x \)-axis).