Final answer:
To find the resources of the function f(x) = x³ - (9/2)x² - 54x + 1, we can determine where the function is undefined or has specific values. In this case, the function is a polynomial, so it is defined for all real numbers and the resources can be expressed as 'DNE' (Does Not Exist).
Step-by-step explanation:
To find the resources of the function f(x) = x³ - (9/2)x² - 54x + 1, we need to determine where the function is undefined or has specific values. The resources of a function refer to the x-values for which the function is not defined or has restrictions.
To solve for the resources of this function, we look for any values of x that make the denominator of a fraction go to zero, or any values that result in a negative number under a square root (if applicable). In this case, the function does not have any fractions or square roots, so the resources would be the solutions to any polynomial equations that arise.
However, since this function is a polynomial, it is defined for all real numbers. Therefore, the resources of the function f(x) = x³ - (9/2)x² - 54x + 1 can be expressed as 'DNE' (Does Not Exist).