Mathematics

Grade10

Easy

Question

# The function that best models the data set given.

- Linear function
- Exponential function
- Quadratic function
- Binomial function

Hint:

### 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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