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The graph of a relation must pass the vertical line test?
True
How can you decide whether a relationship is linear by studying the pattern in a graph?
The graph must be a straight line, and it must pass through the origin.
What are the similarities between exponential linear and quadratic functions?
Of the three functions, all three pass the vertical line test. That is, if you draw a vertical line anywhere on the graph that the function is, that line will only pass through the function once. All three are also invertible functions, which means that there is a function that is capable of "undoing" the original function. And because the functions all pass the vertical line test, they are all able to be differentiated.
Is fx -x2 a function?
f(x) = -x2 is a function. The equation is solved with just f(x) on one side, and if you were to graph it, it would pass the vertical line test.
Should the line of a normal force vs static friction graph pass through the origin Same goes for kinetic friction graph?
no
Is an oval a graph of a function?
No, the graph of an oval/ellipse is not a function because it does not pass the vertical line test.
The graph of a relation must pass the vertical line test?
True
How can you decide whether a relationship is linear by studying the pattern in a graph?
The graph must be a straight line, and it must pass through the origin.
How can you tell by examining a graph if a line represents a direct variation?
The graph must be linear and pass thru the origin
What does a one to one function graph look like?
A one-to-one graph must pass both the horizontal and the vertical line test. That means that no x-value can have two y-values and no y-value can have two x-values. An example of a one-to-one function is a line. Things like parabolas and the graph of an absolute function cannot be one-to-one.
The graph of a relation must pass the vertical line test true or false?
False
What two criteria must be true for a graph to be a proportional relationship?
It must be a straight line. It must pass through the origin.
What methodare you going to use in determining that graphs are function or not?
Use the vertical line test...pass a vertical line from left to right across the graph. If you hit the graph more than once at a time, there is x-sharing, and it is not a function.
Does a graph showing direct proportion always have to be a straight line?
Assuming both the scales on the graph are linear (that is to say that the numbers go up evenly) then YES, a graph which shows direct proportion must be a straight line. It must also pass through the origin (0,0). A straight line which does not pass through the origin is NOT showing direct proportion. Duncan
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 are the similarities between exponential linear and quadratic functions?
Of the three functions, all three pass the vertical line test. That is, if you draw a vertical line anywhere on the graph that the function is, that line will only pass through the function once. All three are also invertible functions, which means that there is a function that is capable of "undoing" the original function. And because the functions all pass the vertical line test, they are all able to be differentiated.
Is fx -x2 a function?
f(x) = -x2 is a function. The equation is solved with just f(x) on one side, and if you were to graph it, it would pass the vertical line test.
