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Question


Determine whether the above graph represents a function.
(1 point)
Responses

Function, but not One-to-One
Function, but not One-to-One

Not a Function
Not a Function

One-to-One Function

Answer 1

To determine whether the given graph represents a function and whether it is one-to-one, we can follow these steps:

1. **Check if it is a Function:** A graph represents a function if each input (x-value) is associated with exactly one output (y-value). You can use the *vertical line test*: if a vertical line intersects the graph at more than one point, then it is not a function.

2. **Check if it is One-to-One:** A function is one-to-one if different inputs (x-values) result in different outputs (y-values). You can use the *horizontal line test*: if a horizontal line intersects the graph at more than one point, then the function is not one-to-one.

Without the actual graph, it's impossible to definitively answer if it is a function and whether it is one-to-one. Generally:

- If the graph passes the vertical line test, it's a function.
- If the graph passes both the vertical and horizontal line tests, it is a one-to-one function.

Based on the options given, here’s how you might respond depending on the situation:

- **Function, but not One-to-One**: If the graph is a function (passes vertical line test) but fails the horizontal line test.

- **Not a Function**: If the graph fails the vertical line test.

- **One-to-One Function**: If the graph passes both the vertical and horizontal line tests.

To summarize, you will need to analyze the graph to choose the correct response based on these criteria.