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