A a function is even or odd
B a function is one-to-one
C a relation represented by graph in a function
D the inverse of a function is a function
I'm pretty sure it is B.......I'm here to confirm though :D
2007-05-16 18:17:37 · 7 answers · asked by senora_tt 1 in Science & Mathematics ➔ Mathematics
C. If you draw vertical lines down your xy graph, and the lines only pass through the graph once, then you have a function.
2007-05-16 18:29:12 · answer #1 · answered by Nick 3 · 1⤊ 0⤋
The answer is C. In order to have a function, every value of x can only have one value of Y.
A function f(x) takes some number x and performs one or more operations on it to get a new number.
The function f(x) = 3x takes a number x as input and multiples it by 3 to get 3x.
For a function to be one to one, it has to pass the vertical line test AND the horizontal test. First of all, it has to pass the vertical line test, because if it doesn't, it's not a function in the first place, so it can't be a one-to-one function. The horizontal line test, as you might have guessed, shows that every y value takes on only one x value. Not all functions do this. For example y = x^2 has two different x values for each y value. -2 and 2 both yield 4.
One-to-one functions are special because if a function is one-to-one, that means it has an inverse function.
If you think about it, it makes sense that no input x could yield two different values for f(x). Graphically if a vertical line passed through some curve twice, like with a circle. That would represent a single x value (vertical lines have the equation x = c where c is a constant) taking on two different values for y. y = f(x).
2007-05-16 18:28:54 · answer #2 · answered by dave r 2 · 1⤊ 0⤋
yes, but it can only pass through the line once any more than that and it's not a function so if your using a vertical line test on a vertical line it's not a function because the lines touch at an infinite amount of places.
2016-04-01 05:30:53 · answer #3 · answered by Anonymous · 0⤊ 0⤋
C -- if the relation passes the vertical line test, it's a function.
2007-05-16 18:20:35 · answer #4 · answered by Philo 7 · 2⤊ 0⤋
That the graph is actually a function. The answer is C.
2007-05-16 18:21:14 · answer #5 · answered by Puggy 7 · 1⤊ 0⤋
It is B. if it didn't pass the vertical line test, you would have two outputs so that would not be one to one
2007-05-16 18:23:26 · answer #6 · answered by math_angel09 2 · 0⤊ 1⤋
C. Has to be.
2007-05-16 18:20:53 · answer #7 · answered by Anonymous · 1⤊ 0⤋