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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.
Is the relation a function?
Not every relation is a function. But every function is a relation. Function is just a part of relation.
How does you know that relation is a function?
One way is to try the vertical line test on a graph!
When does a relation be a function?
A function is a relation whose mapping is a bijection.
A relation is a special type of function?
No. A relation is not a special type of function.
What test is used to determine if a relation is a function?
You can use the vertical line test to determine if a relation is a function. It's pretty simple: if there is any part of the graph where there are more than one of the same x-values for different y-values (ex. (3,2), (3,5), and (3,9)), the relation is not a function
What are two ways to determine whether a relation is a function?
Two ways to determine whether the relation is a function is use a mapping diagram or use a vertical line test.
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.
Is the relation a function?
Not every relation is a function. But every function is a relation. Function is just a part of relation.
How does you know that relation is a function?
One way is to try the vertical line test on a graph!
What is the only type of line that is not a function?
A vertical line. Remember that one test to see if a relation is a function is the vertical line test. A vertical line would fail that of course.
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.
Can you have a function that is not a relation?
No, a function must be a relation although a relation need not be a functions.
Which of these data sets represents a function?
Does the graph above show a relation, a function, both a relation and a function, or neither a relation nor a function?
Is a function always a relation and a relation always a function?
yes.
When does a relation be a function?
A function is a relation whose mapping is a bijection.
Is all relation a function?
Not every relation is a function. A function is type of relation in which every element of its domain maps to only one element in the range. However, every function is a relation.
