Solution:This time, we have a problem, which becomes clear once we draw our green arrows: The top arrow is pointing towards a y-value of 4. But the bottom arrow isn’t even on the line of the function…it’s sitting somewhere out in space. In order to determine a limit from a gra...
A function takes an input (x) and produces a single output (y) for each x-value. Functions also pass thevertical line test; if you draw a vertical line through the graph of a function, it never intersect the graph more than once. ...
Not a function: “one to many“. In other words, let’s say you had one x-value that maps to many y-values. For example, — in coordinate notation — (2,1) and (2,10). If the first number (the x-value) repeats, then you do not have a function. To put that another way, ...