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The tutorial discusses graphing logarithmic functions and highlights four basic shapes. When graphing log x where x and y are positive, it travels towards quadrant one. Logarithmic functions are inverses of exponential functions, with exponential functions containing a horizontal asymptote and logarithmic functions containing a vertical asymptote. Exponential functions increase at an increasing rate, while logarithmic functions increase at a decreasing rate. The tutorial compares the graphs of 2 to the x and log base 2 of x, showing that they are inverse functions reflecting across the line y equals x. It then raises the question of graphing log of negative x.
