The graphs that represent a function from the given options are 1, 2, and 3.
What are functions?
A function, say f(x), is defined over a variable x when for each value of x, there should be no more than one value of f(x).
What is a vertical line test?
The vertical line test is a graphical way of visually checking the number of crossings of a curve in the plane with vertical lines to see if it resembles the graph of a function. As a result, any vertical line in the plane can only cross a function's graph once.
How do we solve the given question?
We are asked to check the given graphs, and tell whether they represent a function or not.
To check the graph for functions, we run the vertical line test on every given graph.
- Passes the vertical line test as no vertical line is intersected twice in the given graph. So, it's a function.
- Passes the vertical line test as no vertical line is intersected twice in the given graph. So, it's a function.
- Passes the vertical line test as no vertical line is intersected twice in the given graph. So, it's a function.
- Fails the vertical line test as every vertical line is intersected by points on the graph twice. So, it's not a function.
∴ The graphs that represent a function from the given options are 1, 2, and 3.
Learn more about the vertical line test at
https://brainly.com/question/1821791
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