Final answer:
The given function f(x) = x⁴ - 17/6x² + x - 1 is continuous. There are no points of discontinuity.
Step-by-step explanation:
The given function is f(x) = x⁴ - 17/6x² + x - 1. To identify points of discontinuity, we need to look for values of x that make the function undefined or discontinuous. In this case, we can start by checking if the denominator of any fraction in the function becomes zero, as this would result in an undefined value. Equating the denominator to zero and solving for x will give us the points of discontinuity.
In the given function, there is no fraction with a denominator, so there are no points of discontinuity in the function f(x) = x⁴ - 17/6x² + x - 1. It is a continuous function.