Question

determine whether the following is the graph of a function.

is this a graph of a function?
yes
no

Explanation:

Understand the definition of a function

Using the Definition of a Function knowledge point
A relation is a function if and only if each input \(x\) in the domain corresponds to exactly one output \(y\) in the range.

Apply the vertical line test

Using the Vertical Line Test knowledge point

$$ \text{If any vertical line intersects the graph at more than one point, the graph does not represent a function.} $$

$$ \text{Every vertical line drawn through this graph intersects it at exactly one point.} $$

Determine the final answer

Using the Definition of a Function and Vertical Line Test knowledge points

$$ \text{Since the graph passes the vertical line test, it represents a function.} $$

Answer:

• Yes (Correct answer)
• No