Graph the equation by substituting and plotting points. Then reflect the graph across the line y

step 1 the graph of equation y is equal to mod of x we need to draw a table and i will take some values

Graph the equation by substituting and plotting points. Then...

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Key Concepts

Absolute Value Function

The absolute value function, typically written as y = |x|, outputs the non-negative value of x, resulting in a V-shaped graph. Its graph is composed of two linear pieces and demonstrates a change in behavior at x = 0, where the input changes from negative to positive.

Plotting Points

Plotting points is a fundamental method in graphing functions where specific x-values are chosen, and the corresponding y-values are calculated. These coordinate pairs are then represented on the Cartesian plane to visualize the shape and behavior of the function.

Reflection Across the Line y = x

Reflecting a graph across the line y = x involves transforming every point (a, b) on the original graph to a new point (b, a). This transformation effectively swaps the roles of the x and y coordinates, a process which is key in finding the graph of an inverse function.

Inverse Function

An inverse function reverses the input-output relationship of the original function. Graphically, the inverse of a function is obtained by reflecting the function’s graph across the line y = x, which means that if the original function passes through a point (a, b), its inverse will pass through (b, a).

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