Grade 12 Mathematics (Pure) | Fun Learning Quest for Kids

You are coding a profit function for your side hustle: P(x) = -2x³ + 5x² - 3x + 10, where x is the number of items sold (in hundreds). To ensure the function remains a valid model for real-world sales, you must restrict the domain. Which of the following is the most appropriate restriction for a typical business scenario?

When finding the inverse of a function, you often need to swap x and y and then solve for y. For the function f(x) = √(x - 3) (with domain x ≥ 3), what is the domain of its inverse f⁻¹(x)?

Consider the polynomial function f(x) = -2x⁴ + 3x² - x + 7. Which statement accurately describes its end behaviour?