The best way for us to identify which function type would each data set corresponds is to plot the given points. Let's plot the points given to us and identify what type of function does the plot corresponds to.
A. The plot for the set A is
Based on the shown plot, we can see a linear plot, hence, set A is a linear function.
B. The plot for the set B is
Based on the shown plot, there is a sudden increase in value of y per increasing value of x, hence, set B can be classified as an exponential function.
C. The plot for the set C is
The plot shows a curve behavior going up, which means that set C can be classified as a quadratic function.
D. The plot for the set D is
Based on the shown plot, there is a sudden increase in value of y per increasing value of x, hence, set D can be classified as an exponential function.