Question

How does the value of a determine the range for f(x)=a|x|

Answer 1

Given the function :

$f(x)=a|x|$

As the coefficient a is outside the absolute signs

So, a may positive or negative

So, if a positive , the range will be = [0, ∞ )

And if a negative , the range will be ( -∞ , 0 ]

So, the value of a will determine the range of the function