Mathematics
Grade10
Easy

Question

The function that best models the data set given.

  1. Linear function    
  2. Exponential function    
  3. Quadratic function    
  4. Binomial function    

hintHint:

The exponential function is a mathematical function denoted by f(x)=e^{x}.

The correct answer is: Exponential function


    The first differences of the data set are not constant.

    The second differences of the set are also not constant.

    The ratio of the consecutive y - values is constant.

    If the ratios of consecutive y - values of a data set are constant, then the data set can be best modelled with an exponential function.
    Hence, an exponential function best models the given data set.

    An exponential function is a mathematical function of the following form: f ( x ) = a^x, where x is a variable, and a is a constant called the base of the function.

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