explain why a function has at most one y-intercept
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graph the ordered pairs (4, -2) AND (1, -1) AND CONNECT TO FORM A line. Which quadrant contains no point for this linear function? Explain your answer
A graph is represents a function if for every value x, there is at most one value of y = f(x).
One to one functions on a graph can vary. To determine if a function is one to one, a horizontal line can only intersect the function once. If it intersects the function more than once, it is not a one to one function.
You can only draw one straight line through any two given points.
For a 2-dimensional graph if there is any value of x for which there are more than one values of the graph, then it is not a function. Equivalently, any vertical line can intersect the a function at most once.