Answer:
Below in bold.
Explanation:
f(x)=1.8x^2-6.2x+2.5
As the coefficient of x^2 is positive this has a minimum value.
Find the derivative:
f'(x) = 3.6x - 6.2
This = 0 for a minimum value of f(x):
3.6x - 6.2 = 0
x = 6.2/3.6 = 1.722
This is the value of x when f(x) is a minimum.
So, the minimum value of f(x)
= 1.8(1.722)^2 - 6.2*1.722 + 2.5
= -2.838......
= -2.84 to nearest hundredth.