Question

Find the range of the function in the image.

solve it asap please
no irrelevant answers.
(question in the image)​

Answer 1

0 < f(x) ≤ 3/4, or (0, 3/4]

Explanation:

x² - x + 1 = x² - x + 1/4 + 3/4 = (x - 1/2)² + 3/4

It is always positive and has a minimum value of 3/4 at x = 1/2

So f(x) is always positive (not equal zero) and has a maximum value of 3/4

Then the range is 0 < f(x) ≤ 3/4, or (0, 3/4]