MyQuestionIcon

1

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

Monotonicity

Every inverti...

Question

Every invertible function is
(a) monotonic function
(b) constant function
(c) identity function
(d) not necessarily monotonic function

Open in App

Solution

(a) monotonic function

We know that "every invertible function is a monotonic function".

Suggest Corrections

thumbs-up

0

Similar questions

Q. Assertion (A):

f (x) = 1 + x^{2}

is a one one function from

R^{+} \to R

Reason (R): Every strictly monotonic function is a one to one function

Q. In the interval (1, 2), function f(x) = 2 | x − 1 | + 3 | x − 2 | is
(a) monotonically increasing
(b) monotonically decreasing
(c) not monotonic
(d) constant

Constant functions are Monotonically increasing as well as monotonically decreasing functions

Which of the following function is a monotonic function?

h (x) = f (x) - a (f (x))^{2} + a (f (x))^{3}

for every real number

x

f (x)

is strictly increasing function, then

h (x)

is non-monotonic function given

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Monotonicity

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon