Question

Given f(x)=x⁴-(17/6)x² −x−1, identify any points of discontinuity.

a) No discontinuity
b) x=0
c) x=1
d) x=−1

Answer 1

The function f(x) = x⁴ - (17/6)x² - x - 1 does not have any points of discontinuity.

Step-by-step explanation:

To identify points of discontinuity of the function f(x) = x⁴ - (17/6)x² - x - 1, we need to look for values of x where the function is undefined.

One way to find points of discontinuity is to look for values of x that make the denominator of the function equal to zero.

In this case, the function does not have any denominators, so there are no points of discontinuity. Therefore, the correct answer is option a) No discontinuity.