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First recall that a function is one to one if no two elements in its domain have the same element in the range
One trick to finding out if a function is one to one is to use the Horizontal line test. You may view the link for a better explanation.
The main idea is if a horizontal line intersects the graph of a function more than one time, then the function is not one to one. This is important because if it is not one to one, it has no inverse.
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What is the horizantal line test and vertical line test?
Horizonatal line test is a test use to determine if a function is one-to-one. If a horizontal line intersects a function's graph more than once, then the function is not one-to-one. A one-to-one function is a function where every element of the range correspons to exactly one element of the domain. Vertical line test is a test used to determine if a function is a function or relation. If you can put a vertical line through graph and it only hits the graph once, then it is a function. If it hits more than once, then it is a relation.
How do you use the vetical line test to determine a function?
f(x) = x2 This is a function by the vertical line test because a vertical line drawn through this function will only intersect the function at one point
A statistical function that determines the middle value in a group is called?
Median Function
What does the horizontal line test prove?
I posted this question myself to be honest because i wasn't sure... but the horizontal line test was made to prove whether the function/graph was an one-to-one function
What is function in mathematics?
A function assigns a unique value to each input of specified type. It expresses the intuited idea that one quantity completely determines the another quantity.
