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What test is used to determine if a graph is a function?
Horizontal line test is used for the determination of a function,if the horizontal line passes through one point of the given graph then it is a function and if it passes through more than one point then it will not a function. * * * * * No! It is a vertical line test. Consider the graph of y = sin(x): a horizontal line line will cross it twice in every 360 degrees! Convince me that y = sin(x) is not a function.
Sketch a distance-time graph for a body starting from rest how will you determine the speed of a body from this graph?
It is not possible to sketch anything using this browser. The speed of a body cannot be determined from a distance-time graph. The slope of the graph is a measure of the radial velocity - that is the speed directly towards or directly away from the starting point. However, there is absolutely no information of any motion in a transverse direction. Since motion in this direction cannot be assumed to be 0, the distance-time graph cannot be used to determine speed.
A graph is not a function if the vertical line intersects the graph at more than point?
Not calculus, but correct. This is known as the vertical line test and is used to teach the basics of defining a function.
How can you tell whether a graph is a function or not?
A vertical line test can be used to determine whether a graph is a function or not. If a vertical line intersects the graph more than once, then the graph is not a function.
Can you have a vertical line on a displacement vs time graph?
Yes―sort of. If displacement increases or decreases suddenly in an infinitely small point in time or a time interval that is too small to graph, a vertical line is used.
