Read each verbal description of a graph and answer the questions that follow.
MATHEMATICS · Multi-part · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions
Problem
Read each verbal description of a graph and answer the questions that follow.
(i) A curve passes through the origin, is symmetric about the y-axis and has its minimum point at (0,0). Identify the type of polynomial function that could produce such a graph and justify your answer.
(ii) A horizontal straight line is drawn at y=5. Identify the type of polynomial function represented and justify your answer.
(iii) A straight line slants downwards from left to right and cuts the y-axis at (0,4). Identify the type of polynomial function represented and justify your answer.