Answer the following questions related to the general shapes of the graphs of polynomial functions.
(i) State the general algebraic form of a linear polynomial in one variable and describe the shape of its graph.
(ii) State the general algebraic form of a quadratic polynomial in one variable and describe the shape of its graph.
(iii) Explain how the sign of the coefficient of x2 in a quadratic polynomial affects the opening direction of its graph.
(iv) Distinguish between the number of possible x–intercepts for the graphs of linear and quadratic polynomials.