A function is where you input something and get out another thing generally you are talking about one-to-one functions where for every input you get exactly one output x is input and y is input basicaly, x never repeats
2 ways to find a function 1. if on a graph, then it must pass the vertical line test whre if you draw a vertical line ANYWHERE on the graph, then it must pass through the graph of the equation no more than one times 2. if on a set then make sure that x doesn't repeat with a different y so if you had (2,3) and (2,4) then that is not a function
A is a function since passes vertical line test B is a function since x doesn't repeat C is NOT a function since x=3 has a y value of 5 and -2 D is NOT a function since you have the points (2,2) and (2,6)
so select A and B
basically just lok at the first number of each ordered pair (x,y) and make sure the first number never repeats with a different second number (x,y) and (x,z) is not function if z is not equal to y
so 1 is a function since the numbers never repat 2 is NOT a function since we have the points (2,3) and (2,5) 3 is NOT a function since we have th points (4,2) nd (4,8) and the points (6,3) and (6,6) 4 is NOT a function since we have the points (6,8) and (6,4) so only first is function
ANSWERS so the functions are A and B for first quetsion #1 fors econd
The first one is A,B,and D because for A a function on a graph rises from left to right.B because the input or x is not repeating so just remember that too many x's ain't right but more than one y or output is okay.D because each x is not repeating which is a no no in functions.The second question is the first one is a function and the rest no because the first one none of the x or repeating the other ones their x in their data set is repeating.
