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The tutorial discusses graphing logarithmic functions by covering the four basic shapes. When both x and y are positive, the graph will travel towards quadrant one. Logarithmic functions are the inverse of exponential functions. Exponential functions have a horizontal asymptote, while logarithmic functions have 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 the line y equals zero. The graph of log of negative x reflects about the line y equals x.
