Given the function f(x) = 2x^3 + 3x + 1, state the power function that it’s ends will resemble.
To determine the power function that the ends of the function f(x) = 2x^3 + 3x + 1 will resemble, we need to examine the highest power term in the function.
In this case, the highest power term is 2x^3. Therefore, the ends of the function will resemble a power function with the same degree, which is a cubic function.
A power function is defined as f(x) = ax^n, where a represents a constant and n represents the degree of the function. In this case, the degree is 3, so the power function that the ends will resemble is f(x) = ax^3.