For the every value of $x$ the function $f(x)=\frac{1}{5^x}$ is

Neither increasing nor decreasing

Increasing for $x > 0$ and decreasing for $x < 0$

JEE MATHEMATICS MCQ: INCREASING & DECREASING

1 Easy

1 of 1

Understanding +4 | -1

For the every value of

x

the function

f(x)=\frac{1}{5^x}

View answer and explanation

Correct option: A

Decreasing

Option A (Decreasing) is correct because the derivative of the function is negative for all values of x, indicating a decreasing function.

Practice All Chapter MCQs →

f\left( x \right) = \frac{{K\sin x + 2\cos x}}{{\sin x + \cos x}}

x

f\left( x \right) = {x^2} + ax + 1

a

f(x)=

\sin x-\cos x-a x+b

f(x)=x e^{x(1-x)}, x \in R

f

g

fog

f\left( x \right) = {x^3} + b{x^2} + cx + d

0 < {b^2} < c

\left( { - \infty ,\;\infty } \right)