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A function is a relation in which every input value has one output value. so when you have a set of ordered pairs, there can only be one x value corresponding to a y value, so when there is a set like this....{(2,3) (2,4)} the x value has two outputs making this not a function.
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What does the horizontal line tell you about a function?
If the function is a one-to-one function, therefore it has an inverse.
How can you tell by looking at a graph if the represntation is a function?
if a certain abscissa corresponds to more than one ordinate, then it is not a function.
How do you tell if a function is even or odd?
You can tell if a function is even or odd by looking at its graph. If a function has rotational symmetry about the origin (meaning it can be rotated 180 degrees about the origin and remain the same function) it is an odd function. f(-x)=-f(x) An example of an odd function is the parent sine function: y=sinx If a function has symmetry about the y-axis (meaning it can be reflected across the y-axis to produce the same image) it is an even function. f(x)=f(-x) An example of an even function is the parent quadratic function: y=x2
Does a sideways parabola represent a function?
No, it does not. You can tell if something is a function or not by using the vertical line test. If there is more than one point at any vertical line, it is not a function.
How you tell if set of ordered pairs a function?
If there are any pairs with the same second element but different first elements, then it is not a function. Otherwise it is.
