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Find the range of the function in the image.

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

Find the range of the function in the image. solve it asap please no irrelevant answers-example-1
User Kelle
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1 Answer

10 votes

Answer:

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]

User Panofish
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