If the point (x,y) is on the graph of the even function y = f(x) then so is (-x,y)
y=x
That would depend on its original coordinates and in which direction clockwise or anti clockwise of which information has not been given.
vertex
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.
The first graph consists of all points whose coordinates satisfy the first equation.The second graph consists of all points whose coordinates satisfy the second equation.The point of intersection lies on both lines so the coordinates of that poin must satisfy both equations.
To graph the inverse of a function without finding ordered pairs, you can reflect the original graph across the line ( y = x ). This is because the coordinates of the inverse function are the swapped coordinates of the original function. Thus, for every point ( (a, b) ) on the original graph, the point ( (b, a) ) will be on the graph of its inverse. Ensure that the original function is one-to-one for the inverse to be valid.
Mark the position of the point on the graph according to the coordinates of the point that are given (or calculated).
You cannot, necessarily. Given a graph of the tan function, you could not.
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.
When you replace ( x ) with ( ax ) in the function ( f(x) ), the graph of the function undergoes a horizontal scaling. If ( a > 1 ), the graph compresses towards the y-axis; if ( 0 < a < 1 ), the graph stretches away from the y-axis. The overall shape of the graph remains the same, but the x-coordinates of all points on the graph change according to the factor ( a ).
The coordinates of the points on the curve represent solutions of the equation.
A vertical shift is the vertical motion of a function on a graph through manipulation of the y-coordinates, while simultaneously leaving the x-coordinates unchanged. A horizontal shift is the opposite of a vertical shift, in that the function is moving horizontally by manipulating the x-coordinates and leaving the y-coordinates unchanged.
The graph of a linear function is a line with a constant slope. The graph of an exponential function is a curve with a non-constant slope. The slope of a given curve at a specified point is the derivative evaluated at that point.