In 1–2 sentences, compare the functions f(x)=2x2%0D%0A%0D%0A(%0D%0A%0D%0A)%0D%0A=%0D%0A2%0D%0A%0D%0A2%0D%0A and f(x)=2x3%0D%0A%0D%0A(%0D%0A%0D%0A)%0D%0A=%0D%0A2%0D%0A%0D%0A3%0D%0A. What similarities and differences can be recognized between these two functions when graphed?(2 points)

Answer 1

Both functions are polynomial functions with a leading coefficient of 2, meaning they both have the same general shape. However, the first function is a quadratic function (degree 2) while the second function is a cubic function (degree 3), leading to differences in the behavior of the graphs, such as the number of zeros and inflection points.