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The graph of a relation must pass the vertical line test?
True
How does you know that relation is a function?
One way is to try the vertical line test on a graph!
When can you say that the graph is function or mere relation?
If a vertical line intersects the graph at more than one point then it is not a function.
How will you determine if a graph is a function or a mere relation?
You use the "vertical line test". If anywhere you can draw a vertical line that goes through two points of the graph, the relation is not a function; otherwise, it is a function. This is just another way of saying that in a function for every x value (input) there is AT MOST one y value (output).
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.
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.
Which of the following would offer proof that a relation is a function?
a vertical line
The graph of a relation must pass the vertical line test?
True
If no vertical line intersects the graph of a relation in more than one point then the relation is a function?
True.
What is a mere relation?
A relation is an expression that is not a function. A function is defined as only having one domain per range, meaning that when graphed, a function will have no two points on the same vertical line. If your expression is graphed and two points do appear on the same vertical line, it is a relation, not a function.
The graph of a relation must pass the vertical line test true or false?
False
How does you know that relation is a function?
One way is to try the vertical line test on a graph!
If a vertical line drawn through a graph crosses it only once the relation is a function?
true
A function will always be a vertical line?
A function can never be a vertical line, because it then fails the definition of a function: every x value outputs only 1 y value. The vertical line test will determine if a relation is a function. If a vertical line intersects the graph of the function at more than one place, it is not a function.
What does the slope mean on a line graph?
Rate of change of the "vertical" variable in relation to the "horizontal" variable.
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.
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.
