Mathematics
Grade10
Easy
Question
The function that best models the data set given.
![](data:image/png;base64,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)
- 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.
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/generalfeedback/1738584/1/1170361/Picture54.png)
The second differences of the set are also not constant.
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/generalfeedback/1738584/1/1170361/Picture56.png)
The ratio of the consecutive y - values is constant.
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/generalfeedback/1738584/1/1170361/Picture57.png)
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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