Science:Math Exam Resources/Courses/MATH102/December 2016/Question A 01/Statement

Suppose that you have conducted an experiment resulting in the data plotted below.

The following functions $f(x)$ depend on a parameter $b>0$. Which function would you use to fit the data points above?

(i) $f(x)={\frac {8e^{x}}{b+e^{x}}}$

(ii) $f(x)={\frac {8x}{b+x}}$

(iii) $f(x)={\frac {8x^{3}}{b^{3}+x^{3}}}$

(iv) $f(x)={\frac {bx^{3}}{8^{3}+x^{3}}}$