What is the least value of f(x) = | sin 2x + 3 |?

Maxima & Minima · Question 8 of 80

Question 8

MediumOriginal question

What is the least value of $f(x) = \lvert \sin 2x + 3 \rvert$ ?

0

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1

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2

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3

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Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

$\sin 2x + 3$ lies between 2 and 4, so it is always positive and the absolute value changes nothing.
The least value is 2, when $\sin 2x = -1$ .

Worth noting

0 assumes an absolute value can always reach 0; here the inside never does.

Ten questions from Maxima & Minima, at your own pace.

Ten questions from Maxima & Minima, at your own pace.