1. The user asked for examples of graphic polynomial functions. 2. A polynomial function is a function of the form $$f(x) = a_nx^n + a_{n-1}x^{n-1} + \cdots + a_1x + a_0$$ where each $a_i$ is a constant and $n$ is a non-negative integer. 3. For examples, consider these common polynomial functions: - Linear polynomial: $$f(x) = 2x + 3$$ (degree 1) - Quadratic polynomial: $$f(x) = x^2 - 4x + 4$$ (degree 2) - Cubic polynomial: $$f(x) = x^3 - 3x^2 + 2x$$ (degree 3) - Quartic polynomial: $$f(x) = x^4 - 5x^3 + x - 1$$ (degree 4) 4. Each has a distinct graph shape, with the degree indicating the highest power of $x$. 5. These examples show a variety of possible polynomial graphs, useful for studying intercepts, extrema, and end behavior.