Mastering Graphing Absolute Value Functions: Tips And Techniques

Graph of a absolute value function

a change in the size, shape, position or orientation of a graph.

The graph of an absolute value function is typically in the shape of a V. It is a piecewise function with a different equation for when the input (x) is positive or negative.

The equation of the absolute value function is y = |x|. When x is positive, the absolute value function will give the same output as x. However, when x is negative, the absolute value function will give a positive output that is equal in magnitude to x.

To graph the absolute value function, first plot the point (0, 0) as the vertex of the V. Then, plot points to the left and right of the vertex that are equidistant from the vertex. For example, if you plot the points (-2, 2) and (2, 2), those points will have the same distance from the vertex. Continue plotting points in this manner, creating a symmetrical graph that is mirrored about the y-axis.

To summarize, the graph of an absolute value function is a V shape, with the vertex at (0,0). It is piecewise, with the equation changing depending on whether the input is positive or negative.

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