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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.
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What is the zero of a function and how does it relate to the functions graph?
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.
Recall that the vertical line test is used to check whether a particular graph represents the graph of a function what are correct statements for this graph?
This graph fails the vertical line test at x = 3This graph is not the graph of a function.
When can a graph represent a function?
A graph represents a function if and only if every input generates a single output.
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.
How do you determine if a relation represents a function?
If the function is a straight line equation that passes through the graph once, then that's a function, anything on a graph is a relation!
