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It is a continuous line whose shape depends upon what expression it is meant to represent.

The equation y = x would be a straight line passing through (0,0) and all the other points where the x and y co-ordinates were equal, including negative ones such as (-11,-11).

But if the equation has x squared in it the shape would be a parabola, while the graph of an equation with y cubed in it would have something like an S shape in it. More complex equations could produce many differently shaped lines.

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Q: What is the graph of a function when it has no gaps or holes?
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Related questions

A function whose graph has no gaps or breaks?

continuous


How can you tell if a graph is a continuous function or a discrete function?

The graph of a continuous function will not have any 'breaks' or 'gaps' in it. You can draw it without lifting your pencil or pen. The graph of a discrete function will just be a set of lines.


What is the term for a function whose graph has no holes jumps or asymtopes?

continuous


What are the rules of continuity of a graph?

If you are looking at a graph and you want to know if a function is continuous, ask yourself this simple question: Can I trace the graph without lifting my pencil? If the answer is yes, then the function is continuous. That is, there should be no "jumps", "holes", or "asymptotes".


Is a corner continuous?

Yes, a corner is continuous, as long as you don't have to lift your pencil up then it is a continuous function. Continuous functions just have no breaks, gaps, or holes.


Is a circle graph a function?

No, a circle graph is never a function.


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.


How can you tell if a graph is a sine function or a cosine function?

sine graph will be formed at origine of graph and cosine graph is find on y-axise


Can a line be a graph of a function?

Yes the graph of a function can be a vertical or a horizontal line


Can a line be the graph of a function?

Yes the graph of a function can be a vertical or a horizontal line


How is the function differentiable in graph?

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.


What are air gaps in horse trailers?

They are the holes in the top of the horse trailer.