Respuesta :

Answer:

Choice B is correct

Step-by-step explanation:

The function is said to be decreasing over a given interval if its sloping downwards or has a negative slope over the said interval

Answer:

[tex]B. (-\infty,1][/tex]

Step-by-step explanation:

The  given function is

[tex]a(x)=\frac{1}{3}|2x-3|+1[/tex]

A function is said to be decreasing over an interval, if it has a negative slope on that interval.

We can see from the graph that, the function has a negative slope on the interval;

[tex](-\infty,1][/tex]

But the graph has a positive slope on the interval;

[tex][1,+ \infty)[/tex]

The correct answer is B