Q: Is a positive graph a function?

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If x2 is negative it will have a maximum value If x2 is positive it will have a minimum value

A parabola. An arch opening either north or south of the x-axis depending on the sign of the coefficient (negative opens down, positive opens up).

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.

the graph is called a line

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It depends on the graph, and what the problem is asking, some are negative and others positive.

The negative sine graph and the positive sine graph have opposite signs: when one is negative, the other is positive - by exactly the same amount. The sine function is said to be an odd function. The two graphs for cosine are the same. The cosine function is said to be even.

the left end of the graph is going in a positive direction and the right end is going in a negative direction.

This means that the function has reached a local maximum or minimum. Since the graph of the derivative crosses the x-axis, then this means the derivative is zero at the point of intersection. When a derivative is equal to zero then the function has reached a "flat" spot for that instant. If the graph of the derivative crosses from positive x to negative x, then this indicates a local maximum. Likewise, if the graph of the derivative crosses from negative x to positive x then this indicates a local minimum.

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.

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

It will cross the x-axis twice.

If x2 is negative it will have a maximum value If x2 is positive it will have a minimum value