question is below please it was very hard

Based on the polynomial function given, the lower bound can be found to be -14.
With f(x) being:
= x⁴ - 4x³ + 9x² - x - 14
Then f'(x) will be:
= 4x³ - 12x² + 18x - 1
If f'(x) is 0:
0 = 4x³ - 12x² + 18x - 1
x = 0.0578
So:
f(0.05) = -14.028
The lower bound is therefore -14.
Find out more on polynomial functions at https://brainly.com/question/12976257.
#SPJ1