f(x) = x2 − 10x + 26

Question

Determine whether the following function has a maximum, a minimum, or neither. If it has either a maximum or a minimum, find what that value is and where it occurs. Reduce all fractions to lowest terms.

Answer 1

f(x) = x² - 10x + 26 is an upward opening parabola. Therefore it has a minimum.

The minimum occurs at x = -b/2a, x= 10/2, x= 5.

What is the value of the minimum? 

Answer 2

only minimum at 2x-10=0 i.e x=5 because the second  derivative 2 is positive.

 

This function domain is all real numbers but range is [1 ,inf]

 

1 is the minimum value at x=5!!!!!!!!!!