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How are the graphs of the reciprocal functions related to their corresponding original functions? What happens to the graphs of the reciprocal functions as x approaches the zeros of the original functions? Describe how you would teach friends with different learning styles (visual-spatial, aural-auditory, verbal-linguistic, physical-bodily-kinesthetic, logical-mathematical, social-interpersonal, and solitary-intrapersonal) how to graph the reciprocal functions.

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Graphs of reciprocal functions reflect against their original functions. For example, y=arcsinx reflects against y=sinx. To graph trigonomoetric functions, simply use a graphing calculator, like Desmos. It's easy. go to Desmos and type y=sinx. It will make a graph for you. Then on a line below the function, type y=arcsinx. You will notice how the inverse of sine reflects against sine. I would teach a visual person by not saying as much and just writing out the equations and using Desmos. To an auditory person, I'd explain as I do the math. I don't know what some of these words mean, but if someone wants a physical example, I'd give them a realistic world problem. I'd ask them to stand up and imagine they are this many feet away from an object that is this many feet tall. We will set up a realistic equation together.

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