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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.
What kind of verticle-line test determines which graph represents a function?
A sliding test. The vertical line can meet the graph at at most one point.
Can a one to one function not be a function?
"y = f(x) is a function if it passes the vertical line test. It is a 1-1 function if it passes both the vertical line test and the horizontal line test. " - In order to be a one-to-one function, it first has to BE a function and pass the vertical line test. For example, a relation on a graph like a circle that does not pass the vertical line test is not function nor one-to-one.
What determines an enzymes function and how many functions one enzyme have?
two
What is one function of chromosomes in a cell?
Provides Information that determines the Traits of an organism
What is hemi stool?
One may be referring to an heme-occult stool test - a test whereby one determines whether there is blood in the stool or not.
What is a function that determines whether a condition is true or false?
A logical function, such as the IF function.
What determines the number and type of organelles in eukaryotic cell?
Function
Who determines gene function?
genetic engineer
What does Concerning cells structure determines what?
Function
What concerning cells structure determines?
Function
The test is used to determine whether a function is one-to-one?
horizontal line
A statistical function that determines the smallest value in a group of values?
MIN function
