Question

consider the function represented by this graph.which word or phrase describes the value of the function over the interval -6, 0?a. increasingb. constantc. decreasingd. increasing to decreasing

Explanation:

Step1: Analyze the function graph

For a function \(y = f(x)\), if as \(x\) increases, \(y\) also increases, the function is increasing. If as \(x\) increases, \(y\) decreases, the function is decreasing. If \(y\) does not change as \(x\) changes, the function is constant.

Step2: Check the behavior of the function over the interval \([-6,0]\)

Looking at the graph over the interval \([-6,0]\), we can see that the \(y -\)values of the function first decrease (from \(x=-6\) to some point \(x = a\) where \(- 6\lt a\lt0\)) and then continue to decrease further (from \(x = a\) to \(x = 0\)).

Answer:

C. decreasing