Read the two statements and choose the correct option.
I. $f(x) = \sin x + 2$ has maximum value 3 and minimum value 1.
II. $f(x) = \frac{1}{x^{2} + 1}$ has maximum value 1 and no minimum value.

Only ICorrect answerYour answerOnly IICorrect answerYour answerBoth I and IICorrect answerYour answerNeither I nor IICorrect answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

I: $\sin x$ runs from $-1$ to 1, so $f$ runs from 1 to 3. True.
II: $x^{2} + 1 \ge 1$ , so $f \le 1$ , reached at $x = 0$ ; $f$ gets close to 0 but never reaches it. True.

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

Read the two statements and choose the correct option.I. f(x)=sin⁡x+2f(x) = \sin x + 2f(x)=sinx+2 has maximum value 3 and minimum value 1.II. f(x)=1x2+1f(x) = \frac{1}{x^{2} + 1}f(x)=x2+11​ has maximum value 1 and no minimum value.