if 2 < x < 6 ; which of the following statements about x are necessarily true, and which are not necessarily true?
a) 0 < x < 4
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A zero of a function is a point at which the value of the function is zero. If you graph the function, it is a point at which the graph touches the x-axis.
If the graph of the function is a continuous line then the function is differentiable. Also if the graph suddenly make a deviation at any point then the function is not differentiable at that point . The slope of a tangent at any point of the graph gives the derivative of the function at that point.
This graph fails the vertical line test at x = 3This graph is not the graph of a function.
A graph represents a function if and only if every input generates a single output.
No, the graph of an oval/ellipse is not a function because it does not pass the vertical line test.