is a horizontal line on a graph a function? I think it is.
Yes. It is y = (constant)
where the constant is the y intercept.
thanks
Yes, a horizontal line on a graph can be considered a function. A function is a mathematical relation where each input value (x) corresponds to exactly one output value (y).
In the case of a horizontal line, regardless of the x-coordinate, the y-coordinate remains the same. For example, if the equation of the line is y = 2, no matter what value of x you choose, the corresponding y value will always be 2. This satisfies the criterion of a function since each input (x) has a unique output (y).
To determine if any given graph represents a function, you can use the vertical line test. Imagine vertically drawing lines on the graph. If, at any point, a vertical line intersects the graph in more than one place, then it is not a function. However, if every vertical line intersects the graph at most once, then it is indeed a function.
In the case of a horizontal line, any vertical line you draw will intersect the line at most once, so it passes the vertical line test and is considered a function.