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The video tutorial discusses graphing logarithmic functions, focusing on the four basic shapes. When graphing log x where x and y are positive, the graph travels toward quadrant one. Logarithmic functions are the inverse of exponential functions, with exponential functions having a horizontal asymptote and logarithmic functions having a vertical asymptote. Exponential functions increase at an increasing rate, while logarithmic functions increase at a decreasing rate. When comparing the graphs of 2 to the x and log base 2 of x, they are inverse functions that reflect across y equals zero and the line y equals x. The tutorial does not cover the graph of log of negative x.
