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What else can I help you with?
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!
What test tells if a relation is a function?
To determine if a relation is a function, you can use the "vertical line test." If any vertical line drawn on the graph of the relation intersects the graph at more than one point, then the relation is not a function. Additionally, in a set of ordered pairs, a relation is a function if each input (or x-value) corresponds to exactly one output (or y-value).
What are some ways to tell if a relation is a function?
A relation is a function if each input (or domain value) is associated with exactly one output (or range value). To determine this, you can check if any input value appears more than once in the relation; if it does, the relation is not a function. Additionally, in a graph, a relation is a function if it passes the vertical line test—if any vertical line intersects the graph at more than one point, it is not a function.
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.
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.
The graph of a relation must pass the vertical line test?
True
Which of the following would offer proof that a relation is a function?
a vertical line
If no vertical line intersects the graph of a relation in more than one point then the relation is a function?
True.
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.
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.
