5 Matching Annotations
  1. May 2023
    1. graphs

      what does this term mean?

    2. quadratic functions

      what is quadratic function?

    3. Logarithmic Functions

      A logarithmic function is the inverse of an exponential function. If you have an exponential function of the form y = b^x, then the corresponding logarithmic function would be x = log_b(y).

      In this logarithmic function:

      "log" is short for logarithm, the operation being performed. "b" is the base of the logarithm. "y" is the number you are taking the logarithm of. The logarithm log_b(y) is equal to the exponent x that you would have to raise the base "b" to in order to get "y". In other words, if b^x = y, then log_b(y) = x.

      For example, if we have the equation 10^2 = 100, then the equivalent logarithmic form is log_10(100) = 2. This is read as "log base 10 of 100 is 2".

      A special case is the natural logarithm, which is a logarithm with base e (approximately 2.71828). The natural logarithm is usually written as "ln".

      For example, if e^x = y, then the equivalent logarithmic form is ln(y) = x.

      Logarithms have many important properties and are used in many areas of mathematics and science, including algebra, calculus, physics, and computer science. They are particularly useful when dealing with exponential growth or decay, such as in compound interest, population growth, radioactive decay, and earthquake intensity.

  2. Mar 2023
    1. the study of the rates at which quantities change. It is one of the two traditional divisions of calculus, the other being integral calculus.

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