Graphing the Inverse of a Function Defined by an Equation by Calculator – A graphing calculator may be used to graph the inverse of a function defined by an equation. The following instructions are an example of finding an inverse using a TI-83 or TI-84 series graphing calculator. Input the equation into Y1 and press GRAPH. Access the by pressing 2nd then PRGM. Scroll down to and press “draw inverse” command “DrawInv”, ENTER. To draw the inverse of the function in Y1, press VARS, scroll to then to and press “Y-Vars”, “Function”, ENTER ENTER. Press ENTER again. The graph of the inverse of the function is shown along with the original function. Note: To graph only the inverse of the function and not the original, clear the use “Y=”, “DrawInv” followed by the equation of the function, and press ENTER. To graph a series of inverses by this method, use the following sequence to clear the graph screen between each graph: ENTPress 2nd PRGM to then press ENTER “ClrDraw”, Use the procedure to confirm that the graph of the inverse in Example #4a. The original graph has Example #6: equation . Inverse of a Relation Some relations are functions and some are not. The inverse of a relation which is not a function can also be determined by the above methods (where appropriate). Example #7: Consider the relation whose graph is a circle, center (3,0), and radius 3. Describe how to use the graph of the relation to draw the graph of the inverse of the relation. Sketch the graphs of the relation and its inverse on the grid. Describe how to use the equation of the relation to determine the equation of the inverse of the relation.
Graphing the Inverse of a Function Defined by an Equation – by Calculator A graphing calculator may be used to graph the inverse of a function defined by an equation. The following instructions are an example of finding an inverse using a TI-83 or TI-84 series graphing calculator. Input the equation into Y1 and press GRAPH. Access the “draw inverse” command by pressing 2nd then PRGM. Scroll down to “DrawInv”, and press ENTER. To draw the inverse of the function in Y1, press VARS, scroll to “Y-Vars”, then to “Function”, and press ENTER ENTER. Press ENTER again. The graph of the inverse of the function is shown along with the original function. Note: To graph only the inverse of the function and not the original, clear the “Y=”, use “DrawInv” followed by the equation of the function, and press ENTER. To graph a series of inverses by this method, use the following sequence to clear the graph screen between each graph: ENTPress 2nd PRGM to “ClrDraw”, then press ENTER Example #6: Use the procedure to confirm that the graph of the inverse in Example #4a. The original graph has equation . Inverse of a Relation Some relations are functions and some are not. The inverse of a relation which is not a function can also be determined by the above methods (where appropriate). Example #7: Consider the relation whose graph is a circle, center (3,0), and radius 3. Describe how to use the graph of the relation to draw the graph of the inverse of the relation. Sketch the graphs of the relation and its inverse on the grid. Describe how to use the equation of the relation to determine the equation of the inverse of the relation.
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