You visited us 1 times! Enjoying our articles? Unlock Full Access!

Local Maxima

Let f:X →[ ...

Question

Let $f : X \to [1, 27]$ be a function by $f (x) = 5 sin x + 12 cos x + 14$ . The set $X$ so that $f$ is one-one and onto is

[- π / 2, π / 2]

No worries! We‘ve got your back. Try BYJU‘S free classes today!

[0, π]

No worries! We‘ve got your back. Try BYJU‘S free classes today!

[0, π / 2]

No worries! We‘ve got your back. Try BYJU‘S free classes today!

non of these

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D non of these

Suggest Corrections

Similar questions

f : X \to Y

f (x) = 2 sin (x + \frac{π}{4}) - \sqrt{2} cos x + c

X, x \in [0, \frac{π}{2}] \cup [π, \frac{3 π}{2}], f (x)

f^{'} (x) \geq 0, x \in [0, \frac{π}{2}]

f : (- 1, 1) \to B

f (x) = t a n^{- 1} \frac{2 x}{1 - x^{2}}

f (x)

[0, π]

f (x) = ⎧ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎩ \begin{matrix} x + a \sqrt{2} sin x & , 0 \leq x \leq π / 4 2 x cot x + b & , \frac{π}{4} < x \leq \frac{π}{2} a cos 2 x - b sin x & , \frac{π}{2} < x < π \end{matrix}

f

[0, π]

Prove that the function f given by f(x) = log sin x is strictly increasing on and strictly decreasing on

Prove that the function f given by f(x) = log cos x is strictly decreasing on and strictly increasing on

Join BYJU'S Learning Program