A polynomial equation of degree three, p(x), is used to model the volume of a rectangular box. The graph of p(x) has x-intercepts at (-2, 0), (10, 0), and (14, 0). Consider the following statements: 1. The equation of p(x) = (x - 2)(x + 10)(x + 14). II. The equation of p(x) = (x + 2)(x - 10)(x - 14). III. The maximum volume occurs when x = 10. IV. The volume of the box is 0 when x = 10. Which of the statements regarding p(x) could be TRUE? II and IV II and III I and IV I and III

A polynomial equation of degree three, p(x), is used to model the volume of a rectangular box. The graph of p(x) has x-intercepts at (-2, 0), (10, 0), and (14, 0). Consider the following statements: 1. The equation of p(x) = (x - 2)(x + 10)(x + 14). II. The equation of p(x) = (x + 2)(x - 10)(x - 14). III. The maximum volume occurs when x = 10. IV. The volume of the box is 0 when x = 10. Which of the statements regarding p(x) could be TRUE? II and IV II and III I and IV I and III

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter9: Quadratic Equations And Functions

Section9.6: Graph Quadratic Functions Using Properties

Problem 9.104TI: A path of a toy rocket thrown upward from the ground at a rate of 208 ft/sec is modeled by the...

See similar textbooks

Similar questions

A path of a toy rocket thrown upward from the ground at a rate of 208 ft/sec is modeled by the quadratic function of. h(x)=16t2+208t. When will the rocket reach its maximum height? What will be the maximum height?
Find the maximum or minimum value of the quadratic function g(x)=2x2+6x+3.
Find a fourth-degree polynomial function f with real coefficients that has 2, 2, and 7i as zeros.
Find the intercepts of the parabola whose function is f(x)=x2+2x8.