Question

A function is defined as $f\left(x\right)=\frac{25}{(x+5{)}^2}$, then the value of f(x)

• A. Decreases as the value of x increases, only if x is negative
• B. Increases as the value of x increases, only if x is negative
• C. Decreases as the value of x increases, only if x is positive
• D. Both (a) and (c) are true

Answer 1

The correct option is C Decreases as the value of x increases, only if x is positive

For x = 0, f(x) = 1 and for x = -5, f(x) is not defined.
As x tends to infinity, f(x) tends towards zero, similarly when x tends to minus infinity.
Also, f(x) is always positive.
So, we get the graph as: