As long as the line represented on the graph has no vertical segments then it may be represented by a function.
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That is not enough.
y = sqrt(x) has no vertical segments but it is not a function in the mathematical sense.
A function cannot map an x value to more than one y value. Clearly, the above function maps x to -sqrt(x) and +sqrt(x) and so is not a function. However, there no vertical segment. No matter how close you get to x = 0, there is still a curve and the segment is not vertical.
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.
sine graph will be formed at origine of graph and cosine graph is find on y-axise
A line. The derivative of a function is its slope. If the slope is a constant then the graph is a line.
Draw a graph of a given curve in the xoy plane. Now draw a vertical line so that it cuts the graph. If the vertical line cuts the graph in more than one ordinate then given graph is not a function. If it cuts the graph at a single ordinate such a graph is a function.(is called vertical line test)
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
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".
The relationship between a logarithmic function and its graph is that the graph of a logarithmic function is the inverse of an exponential function. This means that the logarithmic function "undoes" the exponential function, and the graph of the logarithmic function reflects this inverse relationship.
No, a circle graph is never a function.
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
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.
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
A function cannot have any value of x mapped to more than one vaue of y. So, if any line parallel to the y-axis meets the graph at more than 1 points it is not a function.