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Q: Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is even?

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y=x

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.

That would depend on its original coordinates and in which direction clockwise or anti clockwise of which information has not been given.

vertex

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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Graph is a collection of points whose coordinates satisfy a given relation.

You cannot, necessarily. Given a graph of the tan function, you could not.

Mark the position of the point on the graph according to the coordinates of the point that are given (or calculated).

Their first coordinates are positive and their second coordinates are negative.

At the given coordinates where the x and y values intersect

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 function must have a value for any given domain. For each edge (or interval), the sign graph has a sign (+ or -) . So, it is a function.

Graph each "piece" of the function separately, on the given domain.

It is where the x and y coordinates intersect.

graph with data plotted with coordinates

Coordinates

The coordinates of the points on the curve represent solutions of the equation.

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