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".
i need to know how to function rule and a sketch of a graph
One way is to try the vertical line test on a graph!
The Mandelbrot graph is generated iteratively and so is a function of a function of a function ... and in that sense it is a composite 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.
A graph is a function if there is no more than one y-value for any x value. This means no vertical lines or "C" shapes, etc
No, a circle graph is never a function.
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".
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.
i need to know how to function rule and a sketch of a graph
One way is to try the vertical line test on a graph!
sine graph will be formed at origine of graph and cosine graph is find on y-axise
Yes the graph of a function can be a vertical or a horizontal line
Yes the graph of a function can be a vertical or a horizontal line
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.
Test it by the vertical line test. That is, if a vertical line passes through the two points of the graph, this graph is not the graph of a function.
A line. The derivative of a function is its slope. If the slope is a constant then the graph is a line.